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Finding the Third Proportional to 82.75 and 191.69

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Solution

The third proportional to 82.75 and 191.69 is: 444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.75 : 191.69 = 191.69 : x
  2. Step 2: Convert to fraction form
    82.75/191.69 = 191.69/x
  3. Step 3: Cross multiply
    82.75x = 191.69 × 191.69
  4. Step 4: Simplify right side
    82.75x = 36,744.10
  5. Step 5: Solve for x
    x = 36,744.10/82.75
  6. Step 6: Final answer
    x = 444.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.