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Finding the Third Proportional to 138,432 and 216,867

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Solution

The third proportional to 138,432 and 216,867 is: 339,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,432 : 216,867 = 216,867 : x
  2. Step 2: Convert to fraction form
    138,432/216,867 = 216,867/x
  3. Step 3: Cross multiply
    138,432x = 216,867 × 216,867
  4. Step 4: Simplify right side
    138,432x = 47,031,295,689
  5. Step 5: Solve for x
    x = 47,031,295,689/138,432
  6. Step 6: Final answer
    x = 339,742.95

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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.