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Finding the Third Proportional to 116.75 and 170.17

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Solution

The third proportional to 116.75 and 170.17 is: 248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.75 : 170.17 = 170.17 : x
  2. Step 2: Convert to fraction form
    116.75/170.17 = 170.17/x
  3. Step 3: Cross multiply
    116.75x = 170.17 × 170.17
  4. Step 4: Simplify right side
    116.75x = 28,959.13
  5. Step 5: Solve for x
    x = 28,959.13/116.75
  6. Step 6: Final answer
    x = 248.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.