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Finding the Third Proportional to 177,329.25 and 389,149.31

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Solution

The third proportional to 177,329.25 and 389,149.31 is: 853,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,329.25 : 389,149.31 = 389,149.31 : x
  2. Step 2: Convert to fraction form
    177,329.25/389,149.31 = 389,149.31/x
  3. Step 3: Cross multiply
    177,329.25x = 389,149.31 × 389,149.31
  4. Step 4: Simplify right side
    177,329.25x = 151,437,187,419.22
  5. Step 5: Solve for x
    x = 151,437,187,419.22/177,329.25
  6. Step 6: Final answer
    x = 853,988.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.