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Finding the Third Proportional to 226.99 and 350.68

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Solution

The third proportional to 226.99 and 350.68 is: 541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.99 : 350.68 = 350.68 : x
  2. Step 2: Convert to fraction form
    226.99/350.68 = 350.68/x
  3. Step 3: Cross multiply
    226.99x = 350.68 × 350.68
  4. Step 4: Simplify right side
    226.99x = 122,978.98
  5. Step 5: Solve for x
    x = 122,978.98/226.99
  6. Step 6: Final answer
    x = 541.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.