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Finding the Third Proportional to 82.69 and 170.44

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Solution

The third proportional to 82.69 and 170.44 is: 351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.69 : 170.44 = 170.44 : x
  2. Step 2: Convert to fraction form
    82.69/170.44 = 170.44/x
  3. Step 3: Cross multiply
    82.69x = 170.44 × 170.44
  4. Step 4: Simplify right side
    82.69x = 29,048.94
  5. Step 5: Solve for x
    x = 29,048.94/82.69
  6. Step 6: Final answer
    x = 351.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.