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Finding the Third Proportional to 171,420.05 and 261,481.92

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Solution

The third proportional to 171,420.05 and 261,481.92 is: 398,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,420.05 : 261,481.92 = 261,481.92 : x
  2. Step 2: Convert to fraction form
    171,420.05/261,481.92 = 261,481.92/x
  3. Step 3: Cross multiply
    171,420.05x = 261,481.92 × 261,481.92
  4. Step 4: Simplify right side
    171,420.05x = 68,372,795,467.44
  5. Step 5: Solve for x
    x = 68,372,795,467.44/171,420.05
  6. Step 6: Final answer
    x = 398,861.14

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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.