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Finding the Third Proportional to 138,408 and 216,839

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Solution

The third proportional to 138,408 and 216,839 is: 339,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,408 : 216,839 = 216,839 : x
  2. Step 2: Convert to fraction form
    138,408/216,839 = 216,839/x
  3. Step 3: Cross multiply
    138,408x = 216,839 × 216,839
  4. Step 4: Simplify right side
    138,408x = 47,019,151,921
  5. Step 5: Solve for x
    x = 47,019,151,921/138,408
  6. Step 6: Final answer
    x = 339,714.12

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