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Finding the Third Proportional to 106.56 and 229.41

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Solution

The third proportional to 106.56 and 229.41 is: 493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.56 : 229.41 = 229.41 : x
  2. Step 2: Convert to fraction form
    106.56/229.41 = 229.41/x
  3. Step 3: Cross multiply
    106.56x = 229.41 × 229.41
  4. Step 4: Simplify right side
    106.56x = 52,627.23
  5. Step 5: Solve for x
    x = 52,627.23/106.56
  6. Step 6: Final answer
    x = 493.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.