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Finding the Third Proportional to 123,814 and 267,331

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Solution

The third proportional to 123,814 and 267,331 is: 577,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,814 : 267,331 = 267,331 : x
  2. Step 2: Convert to fraction form
    123,814/267,331 = 267,331/x
  3. Step 3: Cross multiply
    123,814x = 267,331 × 267,331
  4. Step 4: Simplify right side
    123,814x = 71,465,863,561
  5. Step 5: Solve for x
    x = 71,465,863,561/123,814
  6. Step 6: Final answer
    x = 577,203.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.