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Finding the Third Proportional to 100.78 and 155.91

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Solution

The third proportional to 100.78 and 155.91 is: 241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.78 : 155.91 = 155.91 : x
  2. Step 2: Convert to fraction form
    100.78/155.91 = 155.91/x
  3. Step 3: Cross multiply
    100.78x = 155.91 × 155.91
  4. Step 4: Simplify right side
    100.78x = 24,306.76
  5. Step 5: Solve for x
    x = 24,306.76/100.78
  6. Step 6: Final answer
    x = 241.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.