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Finding the Third Proportional to 146.97 and 195.02

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Solution

The third proportional to 146.97 and 195.02 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.97 : 195.02 = 195.02 : x
  2. Step 2: Convert to fraction form
    146.97/195.02 = 195.02/x
  3. Step 3: Cross multiply
    146.97x = 195.02 × 195.02
  4. Step 4: Simplify right side
    146.97x = 38,032.78
  5. Step 5: Solve for x
    x = 38,032.78/146.97
  6. Step 6: Final answer
    x = 258.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.