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Finding the Third Proportional to 122,882 and 267,616

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Solution

The third proportional to 122,882 and 267,616 is: 582,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,882 : 267,616 = 267,616 : x
  2. Step 2: Convert to fraction form
    122,882/267,616 = 267,616/x
  3. Step 3: Cross multiply
    122,882x = 267,616 × 267,616
  4. Step 4: Simplify right side
    122,882x = 71,618,323,456
  5. Step 5: Solve for x
    x = 71,618,323,456/122,882
  6. Step 6: Final answer
    x = 582,821.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.