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Finding the Third Proportional to 177,472.69 and 384,891.75

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Solution

The third proportional to 177,472.69 and 384,891.75 is: 834,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,472.69 : 384,891.75 = 384,891.75 : x
  2. Step 2: Convert to fraction form
    177,472.69/384,891.75 = 384,891.75/x
  3. Step 3: Cross multiply
    177,472.69x = 384,891.75 × 384,891.75
  4. Step 4: Simplify right side
    177,472.69x = 148,141,659,218.06
  5. Step 5: Solve for x
    x = 148,141,659,218.06/177,472.69
  6. Step 6: Final answer
    x = 834,729.34

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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.