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Finding the Third Proportional to 90.44 and 176.31

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Solution

The third proportional to 90.44 and 176.31 is: 343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.44 : 176.31 = 176.31 : x
  2. Step 2: Convert to fraction form
    90.44/176.31 = 176.31/x
  3. Step 3: Cross multiply
    90.44x = 176.31 × 176.31
  4. Step 4: Simplify right side
    90.44x = 31,086.10
  5. Step 5: Solve for x
    x = 31,086.10/90.44
  6. Step 6: Final answer
    x = 343.73

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.