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Finding the Third Proportional to 103.94 and 226.06

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Solution

The third proportional to 103.94 and 226.06 is: 491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.94 : 226.06 = 226.06 : x
  2. Step 2: Convert to fraction form
    103.94/226.06 = 226.06/x
  3. Step 3: Cross multiply
    103.94x = 226.06 × 226.06
  4. Step 4: Simplify right side
    103.94x = 51,104.25
  5. Step 5: Solve for x
    x = 51,104.25/103.94
  6. Step 6: Final answer
    x = 491.68

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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.