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Finding the Third Proportional to 226.77 and 496.77

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Solution

The third proportional to 226.77 and 496.77 is: 1,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.77 : 496.77 = 496.77 : x
  2. Step 2: Convert to fraction form
    226.77/496.77 = 496.77/x
  3. Step 3: Cross multiply
    226.77x = 496.77 × 496.77
  4. Step 4: Simplify right side
    226.77x = 246,778.15
  5. Step 5: Solve for x
    x = 246,778.15/226.77
  6. Step 6: Final answer
    x = 1,088.21

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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.