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Finding the Third Proportional to 174,198 and 381,594

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Solution

The third proportional to 174,198 and 381,594 is: 835,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,198 : 381,594 = 381,594 : x
  2. Step 2: Convert to fraction form
    174,198/381,594 = 381,594/x
  3. Step 3: Cross multiply
    174,198x = 381,594 × 381,594
  4. Step 4: Simplify right side
    174,198x = 145,613,980,836
  5. Step 5: Solve for x
    x = 145,613,980,836/174,198
  6. Step 6: Final answer
    x = 835,910.75

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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.