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Finding the Third Proportional to 181,338 and 394,938

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Solution

The third proportional to 181,338 and 394,938 is: 860,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,338 : 394,938 = 394,938 : x
  2. Step 2: Convert to fraction form
    181,338/394,938 = 394,938/x
  3. Step 3: Cross multiply
    181,338x = 394,938 × 394,938
  4. Step 4: Simplify right side
    181,338x = 155,976,023,844
  5. Step 5: Solve for x
    x = 155,976,023,844/181,338
  6. Step 6: Final answer
    x = 860,139.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.