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Finding the Third Proportional to 106,844 and 227,984

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Solution

The third proportional to 106,844 and 227,984 is: 486,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,844 : 227,984 = 227,984 : x
  2. Step 2: Convert to fraction form
    106,844/227,984 = 227,984/x
  3. Step 3: Cross multiply
    106,844x = 227,984 × 227,984
  4. Step 4: Simplify right side
    106,844x = 51,976,704,256
  5. Step 5: Solve for x
    x = 51,976,704,256/106,844
  6. Step 6: Final answer
    x = 486,472.84

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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.