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Finding the Third Proportional to 151,866 and 226,542

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Solution

The third proportional to 151,866 and 226,542 is: 337,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,866 : 226,542 = 226,542 : x
  2. Step 2: Convert to fraction form
    151,866/226,542 = 226,542/x
  3. Step 3: Cross multiply
    151,866x = 226,542 × 226,542
  4. Step 4: Simplify right side
    151,866x = 51,321,277,764
  5. Step 5: Solve for x
    x = 51,321,277,764/151,866
  6. Step 6: Final answer
    x = 337,937.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.