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Finding the Third Proportional to 129,538 and 280,580

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Solution

The third proportional to 129,538 and 280,580 is: 607,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,538 : 280,580 = 280,580 : x
  2. Step 2: Convert to fraction form
    129,538/280,580 = 280,580/x
  3. Step 3: Cross multiply
    129,538x = 280,580 × 280,580
  4. Step 4: Simplify right side
    129,538x = 78,725,136,400
  5. Step 5: Solve for x
    x = 78,725,136,400/129,538
  6. Step 6: Final answer
    x = 607,737.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.