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Finding the Third Proportional to 94,005 and 203,589

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Solution

The third proportional to 94,005 and 203,589 is: 440,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,005 : 203,589 = 203,589 : x
  2. Step 2: Convert to fraction form
    94,005/203,589 = 203,589/x
  3. Step 3: Cross multiply
    94,005x = 203,589 × 203,589
  4. Step 4: Simplify right side
    94,005x = 41,448,480,921
  5. Step 5: Solve for x
    x = 41,448,480,921/94,005
  6. Step 6: Final answer
    x = 440,917.83

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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.