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Finding the Third Proportional to 90.98 and 190.41

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Solution

The third proportional to 90.98 and 190.41 is: 398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.98 : 190.41 = 190.41 : x
  2. Step 2: Convert to fraction form
    90.98/190.41 = 190.41/x
  3. Step 3: Cross multiply
    90.98x = 190.41 × 190.41
  4. Step 4: Simplify right side
    90.98x = 36,254.54
  5. Step 5: Solve for x
    x = 36,254.54/90.98
  6. Step 6: Final answer
    x = 398.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.