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Finding the Third Proportional to 171,429.75 and 261,497.25

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Solution

The third proportional to 171,429.75 and 261,497.25 is: 398,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,429.75 : 261,497.25 = 261,497.25 : x
  2. Step 2: Convert to fraction form
    171,429.75/261,497.25 = 261,497.25/x
  3. Step 3: Cross multiply
    171,429.75x = 261,497.25 × 261,497.25
  4. Step 4: Simplify right side
    171,429.75x = 68,380,811,757.56
  5. Step 5: Solve for x
    x = 68,380,811,757.56/171,429.75
  6. Step 6: Final answer
    x = 398,885.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.