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Finding the Third Proportional to 165.75 and 195.56

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Solution

The third proportional to 165.75 and 195.56 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 195.56 = 195.56 : x
  2. Step 2: Convert to fraction form
    165.75/195.56 = 195.56/x
  3. Step 3: Cross multiply
    165.75x = 195.56 × 195.56
  4. Step 4: Simplify right side
    165.75x = 38,244.69
  5. Step 5: Solve for x
    x = 38,244.69/165.75
  6. Step 6: Final answer
    x = 230.74

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.