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Finding the Third Proportional to 138,204 and 216,558

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Solution

The third proportional to 138,204 and 216,558 is: 339,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,204 : 216,558 = 216,558 : x
  2. Step 2: Convert to fraction form
    138,204/216,558 = 216,558/x
  3. Step 3: Cross multiply
    138,204x = 216,558 × 216,558
  4. Step 4: Simplify right side
    138,204x = 46,897,367,364
  5. Step 5: Solve for x
    x = 46,897,367,364/138,204
  6. Step 6: Final answer
    x = 339,334.37

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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.