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Finding the Third Proportional to 83.21 and 182.99

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Solution

The third proportional to 83.21 and 182.99 is: 402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.21 : 182.99 = 182.99 : x
  2. Step 2: Convert to fraction form
    83.21/182.99 = 182.99/x
  3. Step 3: Cross multiply
    83.21x = 182.99 × 182.99
  4. Step 4: Simplify right side
    83.21x = 33,484.71
  5. Step 5: Solve for x
    x = 33,484.71/83.21
  6. Step 6: Final answer
    x = 402.39

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Why These Related Problems?

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