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Finding the Third Proportional to 150,706 and 227,999

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Solution

The third proportional to 150,706 and 227,999 is: 344,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,706 : 227,999 = 227,999 : x
  2. Step 2: Convert to fraction form
    150,706/227,999 = 227,999/x
  3. Step 3: Cross multiply
    150,706x = 227,999 × 227,999
  4. Step 4: Simplify right side
    150,706x = 51,983,544,001
  5. Step 5: Solve for x
    x = 51,983,544,001/150,706
  6. Step 6: Final answer
    x = 344,933.47

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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.