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Finding the Third Proportional to 150,696 and 227,984

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Solution

The third proportional to 150,696 and 227,984 is: 344,910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,696 : 227,984 = 227,984 : x
  2. Step 2: Convert to fraction form
    150,696/227,984 = 227,984/x
  3. Step 3: Cross multiply
    150,696x = 227,984 × 227,984
  4. Step 4: Simplify right side
    150,696x = 51,976,704,256
  5. Step 5: Solve for x
    x = 51,976,704,256/150,696
  6. Step 6: Final answer
    x = 344,910.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.