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Finding the Third Proportional to 122,884 and 267,620

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Solution

The third proportional to 122,884 and 267,620 is: 582,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,884 : 267,620 = 267,620 : x
  2. Step 2: Convert to fraction form
    122,884/267,620 = 267,620/x
  3. Step 3: Cross multiply
    122,884x = 267,620 × 267,620
  4. Step 4: Simplify right side
    122,884x = 71,620,464,400
  5. Step 5: Solve for x
    x = 71,620,464,400/122,884
  6. Step 6: Final answer
    x = 582,829.86

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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.