All numbers can be squared, as squaring a number simply means to multiply it by itself. This means that every possible number between 200 and 300 can be squared.
If on the other hand, you actually mean to ask for a "perfect square" between 200 and 300 (ie. a number who's square root is an integer), then any of the following would work:
152 = 225
162 = 256
172 = 289
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How about: 225, 256 or 289
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Less than that of a bigger square.
576.