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Finding the Third Proportional to 106 and 226.25

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Solution

The third proportional to 106 and 226.25 is: 482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 226.25 = 226.25 : x
  2. Step 2: Convert to fraction form
    106/226.25 = 226.25/x
  3. Step 3: Cross multiply
    106x = 226.25 × 226.25
  4. Step 4: Simplify right side
    106x = 51,189.06
  5. Step 5: Solve for x
    x = 51,189.06/106
  6. Step 6: Final answer
    x = 482.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.