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Finding the Third Proportional to 232,885 and 351,542

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Solution

The third proportional to 232,885 and 351,542 is: 530,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,885 : 351,542 = 351,542 : x
  2. Step 2: Convert to fraction form
    232,885/351,542 = 351,542/x
  3. Step 3: Cross multiply
    232,885x = 351,542 × 351,542
  4. Step 4: Simplify right side
    232,885x = 123,581,777,764
  5. Step 5: Solve for x
    x = 123,581,777,764/232,885
  6. Step 6: Final answer
    x = 530,655.81

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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.