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Finding the Third Proportional to 251,162 and 352,003

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Solution

The third proportional to 251,162 and 352,003 is: 493,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,162 : 352,003 = 352,003 : x
  2. Step 2: Convert to fraction form
    251,162/352,003 = 352,003/x
  3. Step 3: Cross multiply
    251,162x = 352,003 × 352,003
  4. Step 4: Simplify right side
    251,162x = 123,906,112,009
  5. Step 5: Solve for x
    x = 123,906,112,009/251,162
  6. Step 6: Final answer
    x = 493,331.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.