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Finding the Third Proportional to 83.63 and 182.63

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Solution

The third proportional to 83.63 and 182.63 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.63 : 182.63 = 182.63 : x
  2. Step 2: Convert to fraction form
    83.63/182.63 = 182.63/x
  3. Step 3: Cross multiply
    83.63x = 182.63 × 182.63
  4. Step 4: Simplify right side
    83.63x = 33,351.89
  5. Step 5: Solve for x
    x = 33,351.89/83.63
  6. Step 6: Final answer
    x = 398.83

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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.