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Finding the Third Proportional to 195.12 and 292.15

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Solution

The third proportional to 195.12 and 292.15 is: 437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.12 : 292.15 = 292.15 : x
  2. Step 2: Convert to fraction form
    195.12/292.15 = 292.15/x
  3. Step 3: Cross multiply
    195.12x = 292.15 × 292.15
  4. Step 4: Simplify right side
    195.12x = 85,350.71
  5. Step 5: Solve for x
    x = 85,350.71/195.12
  6. Step 6: Final answer
    x = 437.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.