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Finding the Third Proportional to 90.94 and 170.88

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Solution

The third proportional to 90.94 and 170.88 is: 321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.94 : 170.88 = 170.88 : x
  2. Step 2: Convert to fraction form
    90.94/170.88 = 170.88/x
  3. Step 3: Cross multiply
    90.94x = 170.88 × 170.88
  4. Step 4: Simplify right side
    90.94x = 29,198.27
  5. Step 5: Solve for x
    x = 29,198.27/90.94
  6. Step 6: Final answer
    x = 321.08

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.