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Finding the Third Proportional to 181,093.50 and 393,351.75

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Solution

The third proportional to 181,093.50 and 393,351.75 is: 854,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,093.50 : 393,351.75 = 393,351.75 : x
  2. Step 2: Convert to fraction form
    181,093.50/393,351.75 = 393,351.75/x
  3. Step 3: Cross multiply
    181,093.50x = 393,351.75 × 393,351.75
  4. Step 4: Simplify right side
    181,093.50x = 154,725,599,228.06
  5. Step 5: Solve for x
    x = 154,725,599,228.06/181,093.50
  6. Step 6: Final answer
    x = 854,396.21

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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.