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Finding the Third Proportional to 114.19 and 226.97

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Solution

The third proportional to 114.19 and 226.97 is: 451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.19 : 226.97 = 226.97 : x
  2. Step 2: Convert to fraction form
    114.19/226.97 = 226.97/x
  3. Step 3: Cross multiply
    114.19x = 226.97 × 226.97
  4. Step 4: Simplify right side
    114.19x = 51,514.81
  5. Step 5: Solve for x
    x = 51,514.81/114.19
  6. Step 6: Final answer
    x = 451.14

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.