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Finding the Third Proportional to 182,020.50 and 271,626.75

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Solution

The third proportional to 182,020.50 and 271,626.75 is: 405,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,020.50 : 271,626.75 = 271,626.75 : x
  2. Step 2: Convert to fraction form
    182,020.50/271,626.75 = 271,626.75/x
  3. Step 3: Cross multiply
    182,020.50x = 271,626.75 × 271,626.75
  4. Step 4: Simplify right side
    182,020.50x = 73,781,091,315.56
  5. Step 5: Solve for x
    x = 73,781,091,315.56/182,020.50
  6. Step 6: Final answer
    x = 405,344.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.