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Finding the Third Proportional to 116 and 206.75

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Solution

The third proportional to 116 and 206.75 is: 368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 206.75 = 206.75 : x
  2. Step 2: Convert to fraction form
    116/206.75 = 206.75/x
  3. Step 3: Cross multiply
    116x = 206.75 × 206.75
  4. Step 4: Simplify right side
    116x = 42,745.56
  5. Step 5: Solve for x
    x = 42,745.56/116
  6. Step 6: Final answer
    x = 368.50

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.