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Finding the Third Proportional to 195 and 303.25

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Solution

The third proportional to 195 and 303.25 is: 471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195 : 303.25 = 303.25 : x
  2. Step 2: Convert to fraction form
    195/303.25 = 303.25/x
  3. Step 3: Cross multiply
    195x = 303.25 × 303.25
  4. Step 4: Simplify right side
    195x = 91,960.56
  5. Step 5: Solve for x
    x = 91,960.56/195
  6. Step 6: Final answer
    x = 471.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.