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Finding the Third Proportional to 126,982.69 and 273,352.22

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Solution

The third proportional to 126,982.69 and 273,352.22 is: 588,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,982.69 : 273,352.22 = 273,352.22 : x
  2. Step 2: Convert to fraction form
    126,982.69/273,352.22 = 273,352.22/x
  3. Step 3: Cross multiply
    126,982.69x = 273,352.22 × 273,352.22
  4. Step 4: Simplify right side
    126,982.69x = 74,721,435,495.55
  5. Step 5: Solve for x
    x = 74,721,435,495.55/126,982.69
  6. Step 6: Final answer
    x = 588,437.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.