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Finding the Third Proportional to 105 and 226

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Solution

The third proportional to 105 and 226 is: 486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105 : 226 = 226 : x
  2. Step 2: Convert to fraction form
    105/226 = 226/x
  3. Step 3: Cross multiply
    105x = 226 × 226
  4. Step 4: Simplify right side
    105x = 51,076
  5. Step 5: Solve for x
    x = 51,076/105
  6. Step 6: Final answer
    x = 486.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.