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Finding the Third Proportional to 106.97 and 230.86

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Solution

The third proportional to 106.97 and 230.86 is: 498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 230.86 = 230.86 : x
  2. Step 2: Convert to fraction form
    106.97/230.86 = 230.86/x
  3. Step 3: Cross multiply
    106.97x = 230.86 × 230.86
  4. Step 4: Simplify right side
    106.97x = 53,296.05
  5. Step 5: Solve for x
    x = 53,296.05/106.97
  6. Step 6: Final answer
    x = 498.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.