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Finding the Third Proportional to 194,832 and 426,168

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Solution

The third proportional to 194,832 and 426,168 is: 932,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,832 : 426,168 = 426,168 : x
  2. Step 2: Convert to fraction form
    194,832/426,168 = 426,168/x
  3. Step 3: Cross multiply
    194,832x = 426,168 × 426,168
  4. Step 4: Simplify right side
    194,832x = 181,619,164,224
  5. Step 5: Solve for x
    x = 181,619,164,224/194,832
  6. Step 6: Final answer
    x = 932,183.44

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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.