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Finding the Third Proportional to 177,832.13 and 339,261.75

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Solution

The third proportional to 177,832.13 and 339,261.75 is: 647,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,832.13 : 339,261.75 = 339,261.75 : x
  2. Step 2: Convert to fraction form
    177,832.13/339,261.75 = 339,261.75/x
  3. Step 3: Cross multiply
    177,832.13x = 339,261.75 × 339,261.75
  4. Step 4: Simplify right side
    177,832.13x = 115,098,535,013.06
  5. Step 5: Solve for x
    x = 115,098,535,013.06/177,832.13
  6. Step 6: Final answer
    x = 647,231.40

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.