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Finding the Third Proportional to 274.75 and 379.38

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Solution

The third proportional to 274.75 and 379.38 is: 523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.75 : 379.38 = 379.38 : x
  2. Step 2: Convert to fraction form
    274.75/379.38 = 379.38/x
  3. Step 3: Cross multiply
    274.75x = 379.38 × 379.38
  4. Step 4: Simplify right side
    274.75x = 143,925.39
  5. Step 5: Solve for x
    x = 143,925.39/274.75
  6. Step 6: Final answer
    x = 523.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.