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Finding the Third Proportional to 106.56 and 229.46

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Solution

The third proportional to 106.56 and 229.46 is: 494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.56 : 229.46 = 229.46 : x
  2. Step 2: Convert to fraction form
    106.56/229.46 = 229.46/x
  3. Step 3: Cross multiply
    106.56x = 229.46 × 229.46
  4. Step 4: Simplify right side
    106.56x = 52,654.11
  5. Step 5: Solve for x
    x = 52,654.11/106.56
  6. Step 6: Final answer
    x = 494.13

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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.