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Finding the Third Proportional to 103.84 and 155.69

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Solution

The third proportional to 103.84 and 155.69 is: 233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.84 : 155.69 = 155.69 : x
  2. Step 2: Convert to fraction form
    103.84/155.69 = 155.69/x
  3. Step 3: Cross multiply
    103.84x = 155.69 × 155.69
  4. Step 4: Simplify right side
    103.84x = 24,238.60
  5. Step 5: Solve for x
    x = 24,238.60/103.84
  6. Step 6: Final answer
    x = 233.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.