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Finding the Third Proportional to 177,149.38 and 269,004.56

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Solution

The third proportional to 177,149.38 and 269,004.56 is: 408,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,149.38 : 269,004.56 = 269,004.56 : x
  2. Step 2: Convert to fraction form
    177,149.38/269,004.56 = 269,004.56/x
  3. Step 3: Cross multiply
    177,149.38x = 269,004.56 × 269,004.56
  4. Step 4: Simplify right side
    177,149.38x = 72,363,454,645.82
  5. Step 5: Solve for x
    x = 72,363,454,645.82/177,149.38
  6. Step 6: Final answer
    x = 408,488.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.