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Finding the Third Proportional to 107.26 and 229.71

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Solution

The third proportional to 107.26 and 229.71 is: 491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.26 : 229.71 = 229.71 : x
  2. Step 2: Convert to fraction form
    107.26/229.71 = 229.71/x
  3. Step 3: Cross multiply
    107.26x = 229.71 × 229.71
  4. Step 4: Simplify right side
    107.26x = 52,767.11
  5. Step 5: Solve for x
    x = 52,767.11/107.26
  6. Step 6: Final answer
    x = 491.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.