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Finding the Third Proportional to 226.99 and 349.07

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Solution

The third proportional to 226.99 and 349.07 is: 536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.99 : 349.07 = 349.07 : x
  2. Step 2: Convert to fraction form
    226.99/349.07 = 349.07/x
  3. Step 3: Cross multiply
    226.99x = 349.07 × 349.07
  4. Step 4: Simplify right side
    226.99x = 121,847.36
  5. Step 5: Solve for x
    x = 121,847.36/226.99
  6. Step 6: Final answer
    x = 536.79

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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.