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Finding the Third Proportional to 122,785 and 267,433

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Solution

The third proportional to 122,785 and 267,433 is: 582,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,785 : 267,433 = 267,433 : x
  2. Step 2: Convert to fraction form
    122,785/267,433 = 267,433/x
  3. Step 3: Cross multiply
    122,785x = 267,433 × 267,433
  4. Step 4: Simplify right side
    122,785x = 71,520,409,489
  5. Step 5: Solve for x
    x = 71,520,409,489/122,785
  6. Step 6: Final answer
    x = 582,484.91

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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.