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Finding the Third Proportional to 126,828 and 267,794

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Solution

The third proportional to 126,828 and 267,794 is: 565,440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,828 : 267,794 = 267,794 : x
  2. Step 2: Convert to fraction form
    126,828/267,794 = 267,794/x
  3. Step 3: Cross multiply
    126,828x = 267,794 × 267,794
  4. Step 4: Simplify right side
    126,828x = 71,713,626,436
  5. Step 5: Solve for x
    x = 71,713,626,436/126,828
  6. Step 6: Final answer
    x = 565,440.02

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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.