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Finding the Third Proportional to 183,239.75 and 394,181.38

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Solution

The third proportional to 183,239.75 and 394,181.38 is: 847,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,239.75 : 394,181.38 = 394,181.38 : x
  2. Step 2: Convert to fraction form
    183,239.75/394,181.38 = 394,181.38/x
  3. Step 3: Cross multiply
    183,239.75x = 394,181.38 × 394,181.38
  4. Step 4: Simplify right side
    183,239.75x = 155,378,956,396.89
  5. Step 5: Solve for x
    x = 155,378,956,396.89/183,239.75
  6. Step 6: Final answer
    x = 847,954.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.