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Finding the Third Proportional to 183.67 and 400.10

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Solution

The third proportional to 183.67 and 400.10 is: 871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.67 : 400.10 = 400.10 : x
  2. Step 2: Convert to fraction form
    183.67/400.10 = 400.10/x
  3. Step 3: Cross multiply
    183.67x = 400.10 × 400.10
  4. Step 4: Simplify right side
    183.67x = 160,076.57
  5. Step 5: Solve for x
    x = 160,076.57/183.67
  6. Step 6: Final answer
    x = 871.53

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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.