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Finding the Third Proportional to 122,750 and 267,370

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Solution

The third proportional to 122,750 and 267,370 is: 582,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,750 : 267,370 = 267,370 : x
  2. Step 2: Convert to fraction form
    122,750/267,370 = 267,370/x
  3. Step 3: Cross multiply
    122,750x = 267,370 × 267,370
  4. Step 4: Simplify right side
    122,750x = 71,486,716,900
  5. Step 5: Solve for x
    x = 71,486,716,900/122,750
  6. Step 6: Final answer
    x = 582,376.51

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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.