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Finding the Third Proportional to 226.22 and 276.84

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Solution

The third proportional to 226.22 and 276.84 is: 338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.22 : 276.84 = 276.84 : x
  2. Step 2: Convert to fraction form
    226.22/276.84 = 276.84/x
  3. Step 3: Cross multiply
    226.22x = 276.84 × 276.84
  4. Step 4: Simplify right side
    226.22x = 76,642.46
  5. Step 5: Solve for x
    x = 76,642.46/226.22
  6. Step 6: Final answer
    x = 338.80

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.