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Finding the Third Proportional to 85.75 and 185.26

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Solution

The third proportional to 85.75 and 185.26 is: 400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.75 : 185.26 = 185.26 : x
  2. Step 2: Convert to fraction form
    85.75/185.26 = 185.26/x
  3. Step 3: Cross multiply
    85.75x = 185.26 × 185.26
  4. Step 4: Simplify right side
    85.75x = 34,319.73
  5. Step 5: Solve for x
    x = 34,319.73/85.75
  6. Step 6: Final answer
    x = 400.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.