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Finding the Third Proportional to 122,474 and 267,412

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Solution

The third proportional to 122,474 and 267,412 is: 583,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,474 : 267,412 = 267,412 : x
  2. Step 2: Convert to fraction form
    122,474/267,412 = 267,412/x
  3. Step 3: Cross multiply
    122,474x = 267,412 × 267,412
  4. Step 4: Simplify right side
    122,474x = 71,509,177,744
  5. Step 5: Solve for x
    x = 71,509,177,744/122,474
  6. Step 6: Final answer
    x = 583,872.31

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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.