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Finding the Third Proportional to 122,268 and 267,864

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Solution

The third proportional to 122,268 and 267,864 is: 586,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,268 : 267,864 = 267,864 : x
  2. Step 2: Convert to fraction form
    122,268/267,864 = 267,864/x
  3. Step 3: Cross multiply
    122,268x = 267,864 × 267,864
  4. Step 4: Simplify right side
    122,268x = 71,751,122,496
  5. Step 5: Solve for x
    x = 71,751,122,496/122,268
  6. Step 6: Final answer
    x = 586,834.84

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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.