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Finding the Third Proportional to 122,868 and 267,588

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Solution

The third proportional to 122,868 and 267,588 is: 582,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,868 : 267,588 = 267,588 : x
  2. Step 2: Convert to fraction form
    122,868/267,588 = 267,588/x
  3. Step 3: Cross multiply
    122,868x = 267,588 × 267,588
  4. Step 4: Simplify right side
    122,868x = 71,603,337,744
  5. Step 5: Solve for x
    x = 71,603,337,744/122,868
  6. Step 6: Final answer
    x = 582,766.37

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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.