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Finding the Third Proportional to 177,331.88 and 389,115.75

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Solution

The third proportional to 177,331.88 and 389,115.75 is: 853,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,331.88 : 389,115.75 = 389,115.75 : x
  2. Step 2: Convert to fraction form
    177,331.88/389,115.75 = 389,115.75/x
  3. Step 3: Cross multiply
    177,331.88x = 389,115.75 × 389,115.75
  4. Step 4: Simplify right side
    177,331.88x = 151,411,066,898.06
  5. Step 5: Solve for x
    x = 151,411,066,898.06/177,331.88
  6. Step 6: Final answer
    x = 853,828.83

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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.