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Finding the Third Proportional to 175,996 and 360,193

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Solution

The third proportional to 175,996 and 360,193 is: 737,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,996 : 360,193 = 360,193 : x
  2. Step 2: Convert to fraction form
    175,996/360,193 = 360,193/x
  3. Step 3: Cross multiply
    175,996x = 360,193 × 360,193
  4. Step 4: Simplify right side
    175,996x = 129,738,997,249
  5. Step 5: Solve for x
    x = 129,738,997,249/175,996
  6. Step 6: Final answer
    x = 737,170.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.