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Finding the Third Proportional to 193,449 and 426,126

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Solution

The third proportional to 193,449 and 426,126 is: 938,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,449 : 426,126 = 426,126 : x
  2. Step 2: Convert to fraction form
    193,449/426,126 = 426,126/x
  3. Step 3: Cross multiply
    193,449x = 426,126 × 426,126
  4. Step 4: Simplify right side
    193,449x = 181,583,367,876
  5. Step 5: Solve for x
    x = 181,583,367,876/193,449
  6. Step 6: Final answer
    x = 938,662.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.