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Finding the Third Proportional to 178,614.75 and 381,795

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Solution

The third proportional to 178,614.75 and 381,795 is: 816,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,614.75 : 381,795 = 381,795 : x
  2. Step 2: Convert to fraction form
    178,614.75/381,795 = 381,795/x
  3. Step 3: Cross multiply
    178,614.75x = 381,795 × 381,795
  4. Step 4: Simplify right side
    178,614.75x = 145,767,422,025
  5. Step 5: Solve for x
    x = 145,767,422,025/178,614.75
  6. Step 6: Final answer
    x = 816,099.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.