I usually copy the table to the pasteboard. Then convert the table to text.
Copy and paste the information over to the table you need it in.
otherwise I would create a paragraph style of the correct formatting an apply it after pasting…
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It's also why building table styles and building separate styles for tables is so important.
Once you have Cell Styles, Table Styles, and appropriate paragraph and character styles in place, then this removes the headaches later on.