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Finding the Third Proportional to 226.59 and 303.42

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Solution

The third proportional to 226.59 and 303.42 is: 406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.59 : 303.42 = 303.42 : x
  2. Step 2: Convert to fraction form
    226.59/303.42 = 303.42/x
  3. Step 3: Cross multiply
    226.59x = 303.42 × 303.42
  4. Step 4: Simplify right side
    226.59x = 92,064.83
  5. Step 5: Solve for x
    x = 92,064.83/226.59
  6. Step 6: Final answer
    x = 406.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.