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Finding the Third Proportional to 181,107 and 393,329.25

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Solution

The third proportional to 181,107 and 393,329.25 is: 854,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,107 : 393,329.25 = 393,329.25 : x
  2. Step 2: Convert to fraction form
    181,107/393,329.25 = 393,329.25/x
  3. Step 3: Cross multiply
    181,107x = 393,329.25 × 393,329.25
  4. Step 4: Simplify right side
    181,107x = 154,707,898,905.56
  5. Step 5: Solve for x
    x = 154,707,898,905.56/181,107
  6. Step 6: Final answer
    x = 854,234.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.