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Finding the Third Proportional to 83.14 and 182.64

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Solution

The third proportional to 83.14 and 182.64 is: 401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.14 : 182.64 = 182.64 : x
  2. Step 2: Convert to fraction form
    83.14/182.64 = 182.64/x
  3. Step 3: Cross multiply
    83.14x = 182.64 × 182.64
  4. Step 4: Simplify right side
    83.14x = 33,356.17
  5. Step 5: Solve for x
    x = 33,356.17/83.14
  6. Step 6: Final answer
    x = 401.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.