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Finding the Third Proportional to 119,148.47 and 261,910.97

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Solution

The third proportional to 119,148.47 and 261,910.97 is: 575,730.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,148.47 : 261,910.97 = 261,910.97 : x
  2. Step 2: Convert to fraction form
    119,148.47/261,910.97 = 261,910.97/x
  3. Step 3: Cross multiply
    119,148.47x = 261,910.97 × 261,910.97
  4. Step 4: Simplify right side
    119,148.47x = 68,597,355,551.56
  5. Step 5: Solve for x
    x = 68,597,355,551.56/119,148.47
  6. Step 6: Final answer
    x = 575,730.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.