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Finding the Third Proportional to 85.08 and 183.66

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Solution

The third proportional to 85.08 and 183.66 is: 396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.08 : 183.66 = 183.66 : x
  2. Step 2: Convert to fraction form
    85.08/183.66 = 183.66/x
  3. Step 3: Cross multiply
    85.08x = 183.66 × 183.66
  4. Step 4: Simplify right side
    85.08x = 33,729.62
  5. Step 5: Solve for x
    x = 33,729.62/85.08
  6. Step 6: Final answer
    x = 396.45

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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.