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Finding the Third Proportional to 126,556.50 and 267,343.50

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Solution

The third proportional to 126,556.50 and 267,343.50 is: 564,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,556.50 : 267,343.50 = 267,343.50 : x
  2. Step 2: Convert to fraction form
    126,556.50/267,343.50 = 267,343.50/x
  3. Step 3: Cross multiply
    126,556.50x = 267,343.50 × 267,343.50
  4. Step 4: Simplify right side
    126,556.50x = 71,472,546,992.25
  5. Step 5: Solve for x
    x = 71,472,546,992.25/126,556.50
  6. Step 6: Final answer
    x = 564,748.13

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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.