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Finding the Third Proportional to 204,256 and 436,568

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Solution

The third proportional to 204,256 and 436,568 is: 933,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,256 : 436,568 = 436,568 : x
  2. Step 2: Convert to fraction form
    204,256/436,568 = 436,568/x
  3. Step 3: Cross multiply
    204,256x = 436,568 × 436,568
  4. Step 4: Simplify right side
    204,256x = 190,591,618,624
  5. Step 5: Solve for x
    x = 190,591,618,624/204,256
  6. Step 6: Final answer
    x = 933,101.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.