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Finding the Third Proportional to 177,442.31 and 387,002.25

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Solution

The third proportional to 177,442.31 and 387,002.25 is: 844,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,442.31 : 387,002.25 = 387,002.25 : x
  2. Step 2: Convert to fraction form
    177,442.31/387,002.25 = 387,002.25/x
  3. Step 3: Cross multiply
    177,442.31x = 387,002.25 × 387,002.25
  4. Step 4: Simplify right side
    177,442.31x = 149,770,741,505.06
  5. Step 5: Solve for x
    x = 149,770,741,505.06/177,442.31
  6. Step 6: Final answer
    x = 844,053.14

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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.