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Finding the Third Proportional to 137,422 and 218,602

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Solution

The third proportional to 137,422 and 218,602 is: 347,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,422 : 218,602 = 218,602 : x
  2. Step 2: Convert to fraction form
    137,422/218,602 = 218,602/x
  3. Step 3: Cross multiply
    137,422x = 218,602 × 218,602
  4. Step 4: Simplify right side
    137,422x = 47,786,834,404
  5. Step 5: Solve for x
    x = 47,786,834,404/137,422
  6. Step 6: Final answer
    x = 347,737.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.