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Finding the Third Proportional to 122,266 and 267,860

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Solution

The third proportional to 122,266 and 267,860 is: 586,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,266 : 267,860 = 267,860 : x
  2. Step 2: Convert to fraction form
    122,266/267,860 = 267,860/x
  3. Step 3: Cross multiply
    122,266x = 267,860 × 267,860
  4. Step 4: Simplify right side
    122,266x = 71,748,979,600
  5. Step 5: Solve for x
    x = 71,748,979,600/122,266
  6. Step 6: Final answer
    x = 586,826.92

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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.