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Finding the Third Proportional to 116.94 and 180.97

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Solution

The third proportional to 116.94 and 180.97 is: 280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.94 : 180.97 = 180.97 : x
  2. Step 2: Convert to fraction form
    116.94/180.97 = 180.97/x
  3. Step 3: Cross multiply
    116.94x = 180.97 × 180.97
  4. Step 4: Simplify right side
    116.94x = 32,749.69
  5. Step 5: Solve for x
    x = 32,749.69/116.94
  6. Step 6: Final answer
    x = 280.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.