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Finding the Third Proportional to 122,274 and 267,876

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Solution

The third proportional to 122,274 and 267,876 is: 586,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,274 : 267,876 = 267,876 : x
  2. Step 2: Convert to fraction form
    122,274/267,876 = 267,876/x
  3. Step 3: Cross multiply
    122,274x = 267,876 × 267,876
  4. Step 4: Simplify right side
    122,274x = 71,757,551,376
  5. Step 5: Solve for x
    x = 71,757,551,376/122,274
  6. Step 6: Final answer
    x = 586,858.62

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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.