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Finding the Third Proportional to 311.81 and 345.56

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Solution

The third proportional to 311.81 and 345.56 is: 382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.81 : 345.56 = 345.56 : x
  2. Step 2: Convert to fraction form
    311.81/345.56 = 345.56/x
  3. Step 3: Cross multiply
    311.81x = 345.56 × 345.56
  4. Step 4: Simplify right side
    311.81x = 119,413.44
  5. Step 5: Solve for x
    x = 119,413.44/311.81
  6. Step 6: Final answer
    x = 382.97

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.