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Finding the Third Proportional to 181,916 and 372,848

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Solution

The third proportional to 181,916 and 372,848 is: 764,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,916 : 372,848 = 372,848 : x
  2. Step 2: Convert to fraction form
    181,916/372,848 = 372,848/x
  3. Step 3: Cross multiply
    181,916x = 372,848 × 372,848
  4. Step 4: Simplify right side
    181,916x = 139,015,631,104
  5. Step 5: Solve for x
    x = 139,015,631,104/181,916
  6. Step 6: Final answer
    x = 764,174.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.