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Finding the Third Proportional to 191.75 and 273.88

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Solution

The third proportional to 191.75 and 273.88 is: 391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.75 : 273.88 = 273.88 : x
  2. Step 2: Convert to fraction form
    191.75/273.88 = 273.88/x
  3. Step 3: Cross multiply
    191.75x = 273.88 × 273.88
  4. Step 4: Simplify right side
    191.75x = 75,007.52
  5. Step 5: Solve for x
    x = 75,007.52/191.75
  6. Step 6: Final answer
    x = 391.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.