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Finding the Third Proportional to 181,362 and 394,848

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Solution

The third proportional to 181,362 and 394,848 is: 859,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,362 : 394,848 = 394,848 : x
  2. Step 2: Convert to fraction form
    181,362/394,848 = 394,848/x
  3. Step 3: Cross multiply
    181,362x = 394,848 × 394,848
  4. Step 4: Simplify right side
    181,362x = 155,904,943,104
  5. Step 5: Solve for x
    x = 155,904,943,104/181,362
  6. Step 6: Final answer
    x = 859,634.01

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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.