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Finding the Third Proportional to 121,705 and 267,385

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Solution

The third proportional to 121,705 and 267,385 is: 587,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,705 : 267,385 = 267,385 : x
  2. Step 2: Convert to fraction form
    121,705/267,385 = 267,385/x
  3. Step 3: Cross multiply
    121,705x = 267,385 × 267,385
  4. Step 4: Simplify right side
    121,705x = 71,494,738,225
  5. Step 5: Solve for x
    x = 71,494,738,225/121,705
  6. Step 6: Final answer
    x = 587,442.90

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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.