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Finding the Third Proportional to 166,387.50 and 271,665

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Solution

The third proportional to 166,387.50 and 271,665 is: 443,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,387.50 : 271,665 = 271,665 : x
  2. Step 2: Convert to fraction form
    166,387.50/271,665 = 271,665/x
  3. Step 3: Cross multiply
    166,387.50x = 271,665 × 271,665
  4. Step 4: Simplify right side
    166,387.50x = 73,801,872,225
  5. Step 5: Solve for x
    x = 73,801,872,225/166,387.50
  6. Step 6: Final answer
    x = 443,554.19

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.