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Finding the Third Proportional to 138,436 and 216,874

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Solution

The third proportional to 138,436 and 216,874 is: 339,755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,436 : 216,874 = 216,874 : x
  2. Step 2: Convert to fraction form
    138,436/216,874 = 216,874/x
  3. Step 3: Cross multiply
    138,436x = 216,874 × 216,874
  4. Step 4: Simplify right side
    138,436x = 47,034,331,876
  5. Step 5: Solve for x
    x = 47,034,331,876/138,436
  6. Step 6: Final answer
    x = 339,755.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.