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Finding the Third Proportional to 177,374.25 and 384,252.75

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Solution

The third proportional to 177,374.25 and 384,252.75 is: 832,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,374.25 : 384,252.75 = 384,252.75 : x
  2. Step 2: Convert to fraction form
    177,374.25/384,252.75 = 384,252.75/x
  3. Step 3: Cross multiply
    177,374.25x = 384,252.75 × 384,252.75
  4. Step 4: Simplify right side
    177,374.25x = 147,650,175,882.56
  5. Step 5: Solve for x
    x = 147,650,175,882.56/177,374.25
  6. Step 6: Final answer
    x = 832,421.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.