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Finding the Third Proportional to 150,890.25 and 227,874

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Solution

The third proportional to 150,890.25 and 227,874 is: 344,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,890.25 : 227,874 = 227,874 : x
  2. Step 2: Convert to fraction form
    150,890.25/227,874 = 227,874/x
  3. Step 3: Cross multiply
    150,890.25x = 227,874 × 227,874
  4. Step 4: Simplify right side
    150,890.25x = 51,926,559,876
  5. Step 5: Solve for x
    x = 51,926,559,876/150,890.25
  6. Step 6: Final answer
    x = 344,134.63

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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.