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Finding the Third Proportional to 177,624 and 270,081

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Solution

The third proportional to 177,624 and 270,081 is: 410,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,624 : 270,081 = 270,081 : x
  2. Step 2: Convert to fraction form
    177,624/270,081 = 270,081/x
  3. Step 3: Cross multiply
    177,624x = 270,081 × 270,081
  4. Step 4: Simplify right side
    177,624x = 72,943,746,561
  5. Step 5: Solve for x
    x = 72,943,746,561/177,624
  6. Step 6: Final answer
    x = 410,663.80

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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.