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Finding the Third Proportional to 225,831 and 337,997

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Solution

The third proportional to 225,831 and 337,997 is: 505,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,831 : 337,997 = 337,997 : x
  2. Step 2: Convert to fraction form
    225,831/337,997 = 337,997/x
  3. Step 3: Cross multiply
    225,831x = 337,997 × 337,997
  4. Step 4: Simplify right side
    225,831x = 114,241,972,009
  5. Step 5: Solve for x
    x = 114,241,972,009/225,831
  6. Step 6: Final answer
    x = 505,873.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.