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Finding the Third Proportional to 122,292 and 267,948

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Solution

The third proportional to 122,292 and 267,948 is: 587,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,292 : 267,948 = 267,948 : x
  2. Step 2: Convert to fraction form
    122,292/267,948 = 267,948/x
  3. Step 3: Cross multiply
    122,292x = 267,948 × 267,948
  4. Step 4: Simplify right side
    122,292x = 71,796,130,704
  5. Step 5: Solve for x
    x = 71,796,130,704/122,292
  6. Step 6: Final answer
    x = 587,087.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.