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Finding the Third Proportional to 226.76 and 496.76

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Solution

The third proportional to 226.76 and 496.76 is: 1,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.76 : 496.76 = 496.76 : x
  2. Step 2: Convert to fraction form
    226.76/496.76 = 496.76/x
  3. Step 3: Cross multiply
    226.76x = 496.76 × 496.76
  4. Step 4: Simplify right side
    226.76x = 246,768.32
  5. Step 5: Solve for x
    x = 246,768.32/226.76
  6. Step 6: Final answer
    x = 1,088.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.