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Finding the Third Proportional to 71,448 and 156,908

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Solution

The third proportional to 71,448 and 156,908 is: 344,587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,448 : 156,908 = 156,908 : x
  2. Step 2: Convert to fraction form
    71,448/156,908 = 156,908/x
  3. Step 3: Cross multiply
    71,448x = 156,908 × 156,908
  4. Step 4: Simplify right side
    71,448x = 24,620,120,464
  5. Step 5: Solve for x
    x = 24,620,120,464/71,448
  6. Step 6: Final answer
    x = 344,587.96

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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.