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Finding the Third Proportional to 104.04 and 191.69

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Solution

The third proportional to 104.04 and 191.69 is: 353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.04 : 191.69 = 191.69 : x
  2. Step 2: Convert to fraction form
    104.04/191.69 = 191.69/x
  3. Step 3: Cross multiply
    104.04x = 191.69 × 191.69
  4. Step 4: Simplify right side
    104.04x = 36,744.85
  5. Step 5: Solve for x
    x = 36,744.85/104.04
  6. Step 6: Final answer
    x = 353.16

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.