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Finding the Third Proportional to 150,541 and 227,087

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Solution

The third proportional to 150,541 and 227,087 is: 342,554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,541 : 227,087 = 227,087 : x
  2. Step 2: Convert to fraction form
    150,541/227,087 = 227,087/x
  3. Step 3: Cross multiply
    150,541x = 227,087 × 227,087
  4. Step 4: Simplify right side
    150,541x = 51,568,505,569
  5. Step 5: Solve for x
    x = 51,568,505,569/150,541
  6. Step 6: Final answer
    x = 342,554.56

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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.