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Finding the Third Proportional to 107.59 and 229.81

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Solution

The third proportional to 107.59 and 229.81 is: 490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.59 : 229.81 = 229.81 : x
  2. Step 2: Convert to fraction form
    107.59/229.81 = 229.81/x
  3. Step 3: Cross multiply
    107.59x = 229.81 × 229.81
  4. Step 4: Simplify right side
    107.59x = 52,813.79
  5. Step 5: Solve for x
    x = 52,813.79/107.59
  6. Step 6: Final answer
    x = 490.86

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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.