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Finding the Third Proportional to 194,892 and 426,234

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Solution

The third proportional to 194,892 and 426,234 is: 932,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,892 : 426,234 = 426,234 : x
  2. Step 2: Convert to fraction form
    194,892/426,234 = 426,234/x
  3. Step 3: Cross multiply
    194,892x = 426,234 × 426,234
  4. Step 4: Simplify right side
    194,892x = 181,675,422,756
  5. Step 5: Solve for x
    x = 181,675,422,756/194,892
  6. Step 6: Final answer
    x = 932,185.12

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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.