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Finding the Third Proportional to 195.25 and 302.20

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Solution

The third proportional to 195.25 and 302.20 is: 467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.25 : 302.20 = 302.20 : x
  2. Step 2: Convert to fraction form
    195.25/302.20 = 302.20/x
  3. Step 3: Cross multiply
    195.25x = 302.20 × 302.20
  4. Step 4: Simplify right side
    195.25x = 91,326.73
  5. Step 5: Solve for x
    x = 91,326.73/195.25
  6. Step 6: Final answer
    x = 467.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.