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Finding the Third Proportional to 191,872 and 411,936

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Solution

The third proportional to 191,872 and 411,936 is: 884,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,872 : 411,936 = 411,936 : x
  2. Step 2: Convert to fraction form
    191,872/411,936 = 411,936/x
  3. Step 3: Cross multiply
    191,872x = 411,936 × 411,936
  4. Step 4: Simplify right side
    191,872x = 169,691,268,096
  5. Step 5: Solve for x
    x = 169,691,268,096/191,872
  6. Step 6: Final answer
    x = 884,398.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.