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Finding the Third Proportional to 177,149.44 and 269,004.66

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Solution

The third proportional to 177,149.44 and 269,004.66 is: 408,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,149.44 : 269,004.66 = 269,004.66 : x
  2. Step 2: Convert to fraction form
    177,149.44/269,004.66 = 269,004.66/x
  3. Step 3: Cross multiply
    177,149.44x = 269,004.66 × 269,004.66
  4. Step 4: Simplify right side
    177,149.44x = 72,363,505,084.18
  5. Step 5: Solve for x
    x = 72,363,505,084.18/177,149.44
  6. Step 6: Final answer
    x = 408,488.48

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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.