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Finding the Third Proportional to 100.69 and 234.42

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Solution

The third proportional to 100.69 and 234.42 is: 545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.69 : 234.42 = 234.42 : x
  2. Step 2: Convert to fraction form
    100.69/234.42 = 234.42/x
  3. Step 3: Cross multiply
    100.69x = 234.42 × 234.42
  4. Step 4: Simplify right side
    100.69x = 54,953.62
  5. Step 5: Solve for x
    x = 54,953.62/100.69
  6. Step 6: Final answer
    x = 545.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.