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Finding the Third Proportional to 194,568 and 426,041

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Solution

The third proportional to 194,568 and 426,041 is: 932,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,568 : 426,041 = 426,041 : x
  2. Step 2: Convert to fraction form
    194,568/426,041 = 426,041/x
  3. Step 3: Cross multiply
    194,568x = 426,041 × 426,041
  4. Step 4: Simplify right side
    194,568x = 181,510,933,681
  5. Step 5: Solve for x
    x = 181,510,933,681/194,568
  6. Step 6: Final answer
    x = 932,892.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.