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Finding the Third Proportional to 177,342.75 and 272,589.75

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Solution

The third proportional to 177,342.75 and 272,589.75 is: 418,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,342.75 : 272,589.75 = 272,589.75 : x
  2. Step 2: Convert to fraction form
    177,342.75/272,589.75 = 272,589.75/x
  3. Step 3: Cross multiply
    177,342.75x = 272,589.75 × 272,589.75
  4. Step 4: Simplify right side
    177,342.75x = 74,305,171,805.06
  5. Step 5: Solve for x
    x = 74,305,171,805.06/177,342.75
  6. Step 6: Final answer
    x = 418,991.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.