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Finding the Third Proportional to 82 and 170.63

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Solution

The third proportional to 82 and 170.63 is: 355.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 170.63 = 170.63 : x
  2. Step 2: Convert to fraction form
    82/170.63 = 170.63/x
  3. Step 3: Cross multiply
    82x = 170.63 × 170.63
  4. Step 4: Simplify right side
    82x = 29,112.89
  5. Step 5: Solve for x
    x = 29,112.89/82
  6. Step 6: Final answer
    x = 355.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.