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Proportional reasoning involves comparing ratios to find a relationship between quantities, making it useful for solving percent problems. To calculate a percentage, you can set up a proportion where the part is compared to the whole; for example, if you want to find what percent 25 is of 200, you can set up the equation ( \frac{25}{200} = \frac{x}{100} ) and solve for ( x ). This method allows you to express one quantity as a fraction of another and easily convert it to a percentage. By cross-multiplying and simplifying, you can quickly find the desired percentage.

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