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Finding the Third Proportional to 67,483.97 and 156,229.17

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Solution

The third proportional to 67,483.97 and 156,229.17 is: 361,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,483.97 : 156,229.17 = 156,229.17 : x
  2. Step 2: Convert to fraction form
    67,483.97/156,229.17 = 156,229.17/x
  3. Step 3: Cross multiply
    67,483.97x = 156,229.17 × 156,229.17
  4. Step 4: Simplify right side
    67,483.97x = 24,407,554,144.75
  5. Step 5: Solve for x
    x = 24,407,554,144.75/67,483.97
  6. Step 6: Final answer
    x = 361,679.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.