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Finding the Third Proportional to 84.75 and 195.38

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Solution

The third proportional to 84.75 and 195.38 is: 450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.75 : 195.38 = 195.38 : x
  2. Step 2: Convert to fraction form
    84.75/195.38 = 195.38/x
  3. Step 3: Cross multiply
    84.75x = 195.38 × 195.38
  4. Step 4: Simplify right side
    84.75x = 38,171.39
  5. Step 5: Solve for x
    x = 38,171.39/84.75
  6. Step 6: Final answer
    x = 450.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.