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Finding the Third Proportional to 95.20 and 205.08

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Solution

The third proportional to 95.20 and 205.08 is: 441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.20 : 205.08 = 205.08 : x
  2. Step 2: Convert to fraction form
    95.20/205.08 = 205.08/x
  3. Step 3: Cross multiply
    95.20x = 205.08 × 205.08
  4. Step 4: Simplify right side
    95.20x = 42,057.04
  5. Step 5: Solve for x
    x = 42,057.04/95.20
  6. Step 6: Final answer
    x = 441.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.