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Finding the Third Proportional to 276.33 and 415.17

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Solution

The third proportional to 276.33 and 415.17 is: 623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.33 : 415.17 = 415.17 : x
  2. Step 2: Convert to fraction form
    276.33/415.17 = 415.17/x
  3. Step 3: Cross multiply
    276.33x = 415.17 × 415.17
  4. Step 4: Simplify right side
    276.33x = 172,367.69
  5. Step 5: Solve for x
    x = 172,367.69/276.33
  6. Step 6: Final answer
    x = 623.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.