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Finding the Third Proportional to 82 and 179.75

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Solution

The third proportional to 82 and 179.75 is: 394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 179.75 = 179.75 : x
  2. Step 2: Convert to fraction form
    82/179.75 = 179.75/x
  3. Step 3: Cross multiply
    82x = 179.75 × 179.75
  4. Step 4: Simplify right side
    82x = 32,310.06
  5. Step 5: Solve for x
    x = 32,310.06/82
  6. Step 6: Final answer
    x = 394.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.