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Finding the Third Proportional to 183.38 and 400.22

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Solution

The third proportional to 183.38 and 400.22 is: 873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.38 : 400.22 = 400.22 : x
  2. Step 2: Convert to fraction form
    183.38/400.22 = 400.22/x
  3. Step 3: Cross multiply
    183.38x = 400.22 × 400.22
  4. Step 4: Simplify right side
    183.38x = 160,175.05
  5. Step 5: Solve for x
    x = 160,175.05/183.38
  6. Step 6: Final answer
    x = 873.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.