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Finding the Third Proportional to 171,591.75 and 260,885.25

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Solution

The third proportional to 171,591.75 and 260,885.25 is: 396,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,591.75 : 260,885.25 = 260,885.25 : x
  2. Step 2: Convert to fraction form
    171,591.75/260,885.25 = 260,885.25/x
  3. Step 3: Cross multiply
    171,591.75x = 260,885.25 × 260,885.25
  4. Step 4: Simplify right side
    171,591.75x = 68,061,113,667.56
  5. Step 5: Solve for x
    x = 68,061,113,667.56/171,591.75
  6. Step 6: Final answer
    x = 396,645.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.