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Finding the Third Proportional to 109.69 and 226.76

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Solution

The third proportional to 109.69 and 226.76 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.69 : 226.76 = 226.76 : x
  2. Step 2: Convert to fraction form
    109.69/226.76 = 226.76/x
  3. Step 3: Cross multiply
    109.69x = 226.76 × 226.76
  4. Step 4: Simplify right side
    109.69x = 51,419.11
  5. Step 5: Solve for x
    x = 51,419.11/109.69
  6. Step 6: Final answer
    x = 468.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.