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Finding the Third Proportional to 105.05 and 226.55

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Solution

The third proportional to 105.05 and 226.55 is: 488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.05 : 226.55 = 226.55 : x
  2. Step 2: Convert to fraction form
    105.05/226.55 = 226.55/x
  3. Step 3: Cross multiply
    105.05x = 226.55 × 226.55
  4. Step 4: Simplify right side
    105.05x = 51,323.49
  5. Step 5: Solve for x
    x = 51,323.49/105.05
  6. Step 6: Final answer
    x = 488.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.