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Finding the Third Proportional to 174,419 and 384,193

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Solution

The third proportional to 174,419 and 384,193 is: 846,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,419 : 384,193 = 384,193 : x
  2. Step 2: Convert to fraction form
    174,419/384,193 = 384,193/x
  3. Step 3: Cross multiply
    174,419x = 384,193 × 384,193
  4. Step 4: Simplify right side
    174,419x = 147,604,261,249
  5. Step 5: Solve for x
    x = 147,604,261,249/174,419
  6. Step 6: Final answer
    x = 846,262.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.