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Finding the Third Proportional to 122,708 and 267,630

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Solution

The third proportional to 122,708 and 267,630 is: 583,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,708 : 267,630 = 267,630 : x
  2. Step 2: Convert to fraction form
    122,708/267,630 = 267,630/x
  3. Step 3: Cross multiply
    122,708x = 267,630 × 267,630
  4. Step 4: Simplify right side
    122,708x = 71,625,816,900
  5. Step 5: Solve for x
    x = 71,625,816,900/122,708
  6. Step 6: Final answer
    x = 583,709.43

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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.