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Finding the Third Proportional to 126,816 and 267,778

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Solution

The third proportional to 126,816 and 267,778 is: 565,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,816 : 267,778 = 267,778 : x
  2. Step 2: Convert to fraction form
    126,816/267,778 = 267,778/x
  3. Step 3: Cross multiply
    126,816x = 267,778 × 267,778
  4. Step 4: Simplify right side
    126,816x = 71,705,057,284
  5. Step 5: Solve for x
    x = 71,705,057,284/126,816
  6. Step 6: Final answer
    x = 565,425.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.