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Finding the Third Proportional to 80.49 and 190.41

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Solution

The third proportional to 80.49 and 190.41 is: 450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.49 : 190.41 = 190.41 : x
  2. Step 2: Convert to fraction form
    80.49/190.41 = 190.41/x
  3. Step 3: Cross multiply
    80.49x = 190.41 × 190.41
  4. Step 4: Simplify right side
    80.49x = 36,257.78
  5. Step 5: Solve for x
    x = 36,257.78/80.49
  6. Step 6: Final answer
    x = 450.46

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.