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Finding the Third Proportional to 185.10 and 251.54

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Solution

The third proportional to 185.10 and 251.54 is: 341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.10 : 251.54 = 251.54 : x
  2. Step 2: Convert to fraction form
    185.10/251.54 = 251.54/x
  3. Step 3: Cross multiply
    185.10x = 251.54 × 251.54
  4. Step 4: Simplify right side
    185.10x = 63,273.87
  5. Step 5: Solve for x
    x = 63,273.87/185.10
  6. Step 6: Final answer
    x = 341.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.