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Finding the Third Proportional to 232,934 and 351,616

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Solution

The third proportional to 232,934 and 351,616 is: 530,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,934 : 351,616 = 351,616 : x
  2. Step 2: Convert to fraction form
    232,934/351,616 = 351,616/x
  3. Step 3: Cross multiply
    232,934x = 351,616 × 351,616
  4. Step 4: Simplify right side
    232,934x = 123,633,811,456
  5. Step 5: Solve for x
    x = 123,633,811,456/232,934
  6. Step 6: Final answer
    x = 530,767.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.