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Finding the Third Proportional to 150,643 and 206,568

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Solution

The third proportional to 150,643 and 206,568 is: 283,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,643 : 206,568 = 206,568 : x
  2. Step 2: Convert to fraction form
    150,643/206,568 = 206,568/x
  3. Step 3: Cross multiply
    150,643x = 206,568 × 206,568
  4. Step 4: Simplify right side
    150,643x = 42,670,338,624
  5. Step 5: Solve for x
    x = 42,670,338,624/150,643
  6. Step 6: Final answer
    x = 283,254.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.