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Finding the Third Proportional to 177,453.28 and 387,020.53

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Solution

The third proportional to 177,453.28 and 387,020.53 is: 844,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,453.28 : 387,020.53 = 387,020.53 : x
  2. Step 2: Convert to fraction form
    177,453.28/387,020.53 = 387,020.53/x
  3. Step 3: Cross multiply
    177,453.28x = 387,020.53 × 387,020.53
  4. Step 4: Simplify right side
    177,453.28x = 149,784,891,609.03
  5. Step 5: Solve for x
    x = 149,784,891,609.03/177,453.28
  6. Step 6: Final answer
    x = 844,080.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.