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Finding the Third Proportional to 116.75 and 245.85

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Solution

The third proportional to 116.75 and 245.85 is: 517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.75 : 245.85 = 245.85 : x
  2. Step 2: Convert to fraction form
    116.75/245.85 = 245.85/x
  3. Step 3: Cross multiply
    116.75x = 245.85 × 245.85
  4. Step 4: Simplify right side
    116.75x = 60,441.07
  5. Step 5: Solve for x
    x = 60,441.07/116.75
  6. Step 6: Final answer
    x = 517.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.