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Finding the Third Proportional to 116.86 and 231.19

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Solution

The third proportional to 116.86 and 231.19 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.86 : 231.19 = 231.19 : x
  2. Step 2: Convert to fraction form
    116.86/231.19 = 231.19/x
  3. Step 3: Cross multiply
    116.86x = 231.19 × 231.19
  4. Step 4: Simplify right side
    116.86x = 53,447.66
  5. Step 5: Solve for x
    x = 53,447.66/116.86
  6. Step 6: Final answer
    x = 457.37

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.