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Finding the Third Proportional to 116.75 and 194.88

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Solution

The third proportional to 116.75 and 194.88 is: 325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.75 : 194.88 = 194.88 : x
  2. Step 2: Convert to fraction form
    116.75/194.88 = 194.88/x
  3. Step 3: Cross multiply
    116.75x = 194.88 × 194.88
  4. Step 4: Simplify right side
    116.75x = 37,976.27
  5. Step 5: Solve for x
    x = 37,976.27/116.75
  6. Step 6: Final answer
    x = 325.28

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.