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Finding the Third Proportional to 122,270 and 267,868

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Solution

The third proportional to 122,270 and 267,868 is: 586,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,270 : 267,868 = 267,868 : x
  2. Step 2: Convert to fraction form
    122,270/267,868 = 267,868/x
  3. Step 3: Cross multiply
    122,270x = 267,868 × 267,868
  4. Step 4: Simplify right side
    122,270x = 71,753,265,424
  5. Step 5: Solve for x
    x = 71,753,265,424/122,270
  6. Step 6: Final answer
    x = 586,842.77

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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.