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Finding the Third Proportional to 184.43 and 231.42

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Solution

The third proportional to 184.43 and 231.42 is: 290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.43 : 231.42 = 231.42 : x
  2. Step 2: Convert to fraction form
    184.43/231.42 = 231.42/x
  3. Step 3: Cross multiply
    184.43x = 231.42 × 231.42
  4. Step 4: Simplify right side
    184.43x = 53,556.08
  5. Step 5: Solve for x
    x = 53,556.08/184.43
  6. Step 6: Final answer
    x = 290.39

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.