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Finding the Third Proportional to 71,469 and 156,267

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Solution

The third proportional to 71,469 and 156,267 is: 341,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,469 : 156,267 = 156,267 : x
  2. Step 2: Convert to fraction form
    71,469/156,267 = 156,267/x
  3. Step 3: Cross multiply
    71,469x = 156,267 × 156,267
  4. Step 4: Simplify right side
    71,469x = 24,419,375,289
  5. Step 5: Solve for x
    x = 24,419,375,289/71,469
  6. Step 6: Final answer
    x = 341,677.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.