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Finding the Third Proportional to 226.51 and 496.80

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Solution

The third proportional to 226.51 and 496.80 is: 1,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.51 : 496.80 = 496.80 : x
  2. Step 2: Convert to fraction form
    226.51/496.80 = 496.80/x
  3. Step 3: Cross multiply
    226.51x = 496.80 × 496.80
  4. Step 4: Simplify right side
    226.51x = 246,807.62
  5. Step 5: Solve for x
    x = 246,807.62/226.51
  6. Step 6: Final answer
    x = 1,089.62

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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.