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Finding the Third Proportional to 181,105.24 and 393,323.98

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Solution

The third proportional to 181,105.24 and 393,323.98 is: 854,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,105.24 : 393,323.98 = 393,323.98 : x
  2. Step 2: Convert to fraction form
    181,105.24/393,323.98 = 393,323.98/x
  3. Step 3: Cross multiply
    181,105.24x = 393,323.98 × 393,323.98
  4. Step 4: Simplify right side
    181,105.24x = 154,703,750,538.94
  5. Step 5: Solve for x
    x = 154,703,750,538.94/181,105.24
  6. Step 6: Final answer
    x = 854,220.17

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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.