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Finding the Third Proportional to 156,934 and 345,542

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Solution

The third proportional to 156,934 and 345,542 is: 760,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,934 : 345,542 = 345,542 : x
  2. Step 2: Convert to fraction form
    156,934/345,542 = 345,542/x
  3. Step 3: Cross multiply
    156,934x = 345,542 × 345,542
  4. Step 4: Simplify right side
    156,934x = 119,399,273,764
  5. Step 5: Solve for x
    x = 119,399,273,764/156,934
  6. Step 6: Final answer
    x = 760,824.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.