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Finding the Third Proportional to 177,180 and 269,049

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Solution

The third proportional to 177,180 and 269,049 is: 408,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,180 : 269,049 = 269,049 : x
  2. Step 2: Convert to fraction form
    177,180/269,049 = 269,049/x
  3. Step 3: Cross multiply
    177,180x = 269,049 × 269,049
  4. Step 4: Simplify right side
    177,180x = 72,387,364,401
  5. Step 5: Solve for x
    x = 72,387,364,401/177,180
  6. Step 6: Final answer
    x = 408,552.68

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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.