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Finding the Third Proportional to 106.95 and 231.61

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Solution

The third proportional to 106.95 and 231.61 is: 501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.95 : 231.61 = 231.61 : x
  2. Step 2: Convert to fraction form
    106.95/231.61 = 231.61/x
  3. Step 3: Cross multiply
    106.95x = 231.61 × 231.61
  4. Step 4: Simplify right side
    106.95x = 53,642.90
  5. Step 5: Solve for x
    x = 53,642.90/106.95
  6. Step 6: Final answer
    x = 501.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.