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Finding the Third Proportional to 226.39 and 491.22

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Solution

The third proportional to 226.39 and 491.22 is: 1,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.39 : 491.22 = 491.22 : x
  2. Step 2: Convert to fraction form
    226.39/491.22 = 491.22/x
  3. Step 3: Cross multiply
    226.39x = 491.22 × 491.22
  4. Step 4: Simplify right side
    226.39x = 241,297.78
  5. Step 5: Solve for x
    x = 241,297.78/226.39
  6. Step 6: Final answer
    x = 1,065.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.