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Finding the Third Proportional to 80,805.75 and 175,853.25

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Solution

The third proportional to 80,805.75 and 175,853.25 is: 382,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,805.75 : 175,853.25 = 175,853.25 : x
  2. Step 2: Convert to fraction form
    80,805.75/175,853.25 = 175,853.25/x
  3. Step 3: Cross multiply
    80,805.75x = 175,853.25 × 175,853.25
  4. Step 4: Simplify right side
    80,805.75x = 30,924,365,535.56
  5. Step 5: Solve for x
    x = 30,924,365,535.56/80,805.75
  6. Step 6: Final answer
    x = 382,700.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.