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Finding the Third Proportional to 166,377.75 and 271,651.50

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Solution

The third proportional to 166,377.75 and 271,651.50 is: 443,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,377.75 : 271,651.50 = 271,651.50 : x
  2. Step 2: Convert to fraction form
    166,377.75/271,651.50 = 271,651.50/x
  3. Step 3: Cross multiply
    166,377.75x = 271,651.50 × 271,651.50
  4. Step 4: Simplify right side
    166,377.75x = 73,794,537,452.25
  5. Step 5: Solve for x
    x = 73,794,537,452.25/166,377.75
  6. Step 6: Final answer
    x = 443,536.09

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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.