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Finding the Third Proportional to 83.81 and 182.81

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Solution

The third proportional to 83.81 and 182.81 is: 398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.81 : 182.81 = 182.81 : x
  2. Step 2: Convert to fraction form
    83.81/182.81 = 182.81/x
  3. Step 3: Cross multiply
    83.81x = 182.81 × 182.81
  4. Step 4: Simplify right side
    83.81x = 33,420.41
  5. Step 5: Solve for x
    x = 33,420.41/83.81
  6. Step 6: Final answer
    x = 398.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.