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Finding the Third Proportional to 121,632 and 267,240

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Solution

The third proportional to 121,632 and 267,240 is: 587,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,632 : 267,240 = 267,240 : x
  2. Step 2: Convert to fraction form
    121,632/267,240 = 267,240/x
  3. Step 3: Cross multiply
    121,632x = 267,240 × 267,240
  4. Step 4: Simplify right side
    121,632x = 71,417,217,600
  5. Step 5: Solve for x
    x = 71,417,217,600/121,632
  6. Step 6: Final answer
    x = 587,158.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.