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Finding the Third Proportional to 185.10 and 378.74

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Solution

The third proportional to 185.10 and 378.74 is: 774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.10 : 378.74 = 378.74 : x
  2. Step 2: Convert to fraction form
    185.10/378.74 = 378.74/x
  3. Step 3: Cross multiply
    185.10x = 378.74 × 378.74
  4. Step 4: Simplify right side
    185.10x = 143,442.69
  5. Step 5: Solve for x
    x = 143,442.69/185.10
  6. Step 6: Final answer
    x = 774.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.