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Finding the Third Proportional to 195.75 and 273.69

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Solution

The third proportional to 195.75 and 273.69 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 273.69 = 273.69 : x
  2. Step 2: Convert to fraction form
    195.75/273.69 = 273.69/x
  3. Step 3: Cross multiply
    195.75x = 273.69 × 273.69
  4. Step 4: Simplify right side
    195.75x = 74,906.99
  5. Step 5: Solve for x
    x = 74,906.99/195.75
  6. Step 6: Final answer
    x = 382.67

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.