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Finding the Third Proportional to 174,186 and 381,573

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Solution

The third proportional to 174,186 and 381,573 is: 835,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,186 : 381,573 = 381,573 : x
  2. Step 2: Convert to fraction form
    174,186/381,573 = 381,573/x
  3. Step 3: Cross multiply
    174,186x = 381,573 × 381,573
  4. Step 4: Simplify right side
    174,186x = 145,597,954,329
  5. Step 5: Solve for x
    x = 145,597,954,329/174,186
  6. Step 6: Final answer
    x = 835,876.33

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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.