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Finding the Third Proportional to 174,201.75 and 381,600

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Solution

The third proportional to 174,201.75 and 381,600 is: 835,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,201.75 : 381,600 = 381,600 : x
  2. Step 2: Convert to fraction form
    174,201.75/381,600 = 381,600/x
  3. Step 3: Cross multiply
    174,201.75x = 381,600 × 381,600
  4. Step 4: Simplify right side
    174,201.75x = 145,618,560,000
  5. Step 5: Solve for x
    x = 145,618,560,000/174,201.75
  6. Step 6: Final answer
    x = 835,919.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.