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Finding the Third Proportional to 106,568 and 227,908

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Solution

The third proportional to 106,568 and 227,908 is: 487,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,568 : 227,908 = 227,908 : x
  2. Step 2: Convert to fraction form
    106,568/227,908 = 227,908/x
  3. Step 3: Cross multiply
    106,568x = 227,908 × 227,908
  4. Step 4: Simplify right side
    106,568x = 51,942,056,464
  5. Step 5: Solve for x
    x = 51,942,056,464/106,568
  6. Step 6: Final answer
    x = 487,407.63

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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.