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Finding the Third Proportional to 181,611 and 384,003

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Solution

The third proportional to 181,611 and 384,003 is: 811,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,611 : 384,003 = 384,003 : x
  2. Step 2: Convert to fraction form
    181,611/384,003 = 384,003/x
  3. Step 3: Cross multiply
    181,611x = 384,003 × 384,003
  4. Step 4: Simplify right side
    181,611x = 147,458,304,009
  5. Step 5: Solve for x
    x = 147,458,304,009/181,611
  6. Step 6: Final answer
    x = 811,945.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.