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Finding the Third Proportional to 203,768 and 442,568

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Solution

The third proportional to 203,768 and 442,568 is: 961,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,768 : 442,568 = 442,568 : x
  2. Step 2: Convert to fraction form
    203,768/442,568 = 442,568/x
  3. Step 3: Cross multiply
    203,768x = 442,568 × 442,568
  4. Step 4: Simplify right side
    203,768x = 195,866,434,624
  5. Step 5: Solve for x
    x = 195,866,434,624/203,768
  6. Step 6: Final answer
    x = 961,222.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.