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Finding the Third Proportional to 94.75 and 195.25

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Solution

The third proportional to 94.75 and 195.25 is: 402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.75 : 195.25 = 195.25 : x
  2. Step 2: Convert to fraction form
    94.75/195.25 = 195.25/x
  3. Step 3: Cross multiply
    94.75x = 195.25 × 195.25
  4. Step 4: Simplify right side
    94.75x = 38,122.56
  5. Step 5: Solve for x
    x = 38,122.56/94.75
  6. Step 6: Final answer
    x = 402.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.