There is no formula used to fill a distribution panel. The panel is loaded according to the circuits that are to be connected to it. After you have determining what breakers are needed always buy a distribution panel that has more slots than you need. The extra cost of buying a panel with more slots in it will pay for itself in the future if additional circuits need to be added.
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No, they will not work. Use only Murray breakers for safety.
First you need to determine if addition of the new breakers will exceed the 200A service under normal operating conditions. If so you will need to go to power company and increase service and put in a larger main panel. If you have the capacity for the extra current you can add a sub-panel and add the breakers there as well as the breakers you will remove from main panel to accommodate the sub-panel breaker. Another way depends on what breakers are in current panel. There are some breakers that can be duplexed in the same space as a single breaker.
The key to breaker compatibility is if it fits correctly into the buss bars in the electric panel.
Siemens bought Gould so a Siemens panel should work.
Only a Square D designed breaker can be installed in a Square D manufactured panel.