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Finding the Third Proportional to 174,544.50 and 380,193

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Solution

The third proportional to 174,544.50 and 380,193 is: 828,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,544.50 : 380,193 = 380,193 : x
  2. Step 2: Convert to fraction form
    174,544.50/380,193 = 380,193/x
  3. Step 3: Cross multiply
    174,544.50x = 380,193 × 380,193
  4. Step 4: Simplify right side
    174,544.50x = 144,546,717,249
  5. Step 5: Solve for x
    x = 144,546,717,249/174,544.50
  6. Step 6: Final answer
    x = 828,136.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.