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Finding the Third Proportional to 135,380.25 and 210,474

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Solution

The third proportional to 135,380.25 and 210,474 is: 327,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,380.25 : 210,474 = 210,474 : x
  2. Step 2: Convert to fraction form
    135,380.25/210,474 = 210,474/x
  3. Step 3: Cross multiply
    135,380.25x = 210,474 × 210,474
  4. Step 4: Simplify right side
    135,380.25x = 44,299,304,676
  5. Step 5: Solve for x
    x = 44,299,304,676/135,380.25
  6. Step 6: Final answer
    x = 327,221.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.