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Finding the Third Proportional to 194,112 and 426,456

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Solution

The third proportional to 194,112 and 426,456 is: 936,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,112 : 426,456 = 426,456 : x
  2. Step 2: Convert to fraction form
    194,112/426,456 = 426,456/x
  3. Step 3: Cross multiply
    194,112x = 426,456 × 426,456
  4. Step 4: Simplify right side
    194,112x = 181,864,719,936
  5. Step 5: Solve for x
    x = 181,864,719,936/194,112
  6. Step 6: Final answer
    x = 936,906.12

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