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Finding the Third Proportional to 122,885 and 267,622

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Solution

The third proportional to 122,885 and 267,622 is: 582,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,885 : 267,622 = 267,622 : x
  2. Step 2: Convert to fraction form
    122,885/267,622 = 267,622/x
  3. Step 3: Cross multiply
    122,885x = 267,622 × 267,622
  4. Step 4: Simplify right side
    122,885x = 71,621,534,884
  5. Step 5: Solve for x
    x = 71,621,534,884/122,885
  6. Step 6: Final answer
    x = 582,833.83

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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.