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Finding the Third Proportional to 203,568 and 293,256

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Solution

The third proportional to 203,568 and 293,256 is: 422,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,568 : 293,256 = 293,256 : x
  2. Step 2: Convert to fraction form
    203,568/293,256 = 293,256/x
  3. Step 3: Cross multiply
    203,568x = 293,256 × 293,256
  4. Step 4: Simplify right side
    203,568x = 85,999,081,536
  5. Step 5: Solve for x
    x = 85,999,081,536/203,568
  6. Step 6: Final answer
    x = 422,458.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.