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Finding the Third Proportional to 150,693 and 227,568

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Solution

The third proportional to 150,693 and 227,568 is: 343,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,693 : 227,568 = 227,568 : x
  2. Step 2: Convert to fraction form
    150,693/227,568 = 227,568/x
  3. Step 3: Cross multiply
    150,693x = 227,568 × 227,568
  4. Step 4: Simplify right side
    150,693x = 51,787,194,624
  5. Step 5: Solve for x
    x = 51,787,194,624/150,693
  6. Step 6: Final answer
    x = 343,660.25

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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.