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Finding the Third Proportional to 174.75 and 376.22

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Solution

The third proportional to 174.75 and 376.22 is: 809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.75 : 376.22 = 376.22 : x
  2. Step 2: Convert to fraction form
    174.75/376.22 = 376.22/x
  3. Step 3: Cross multiply
    174.75x = 376.22 × 376.22
  4. Step 4: Simplify right side
    174.75x = 141,540.55
  5. Step 5: Solve for x
    x = 141,540.55/174.75
  6. Step 6: Final answer
    x = 809.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.