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Finding the Third Proportional to 122,752 and 267,374

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Solution

The third proportional to 122,752 and 267,374 is: 582,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,752 : 267,374 = 267,374 : x
  2. Step 2: Convert to fraction form
    122,752/267,374 = 267,374/x
  3. Step 3: Cross multiply
    122,752x = 267,374 × 267,374
  4. Step 4: Simplify right side
    122,752x = 71,488,855,876
  5. Step 5: Solve for x
    x = 71,488,855,876/122,752
  6. Step 6: Final answer
    x = 582,384.45

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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.