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Finding the Third Proportional to 150,377 and 313,193

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Solution

The third proportional to 150,377 and 313,193 is: 652,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,377 : 313,193 = 313,193 : x
  2. Step 2: Convert to fraction form
    150,377/313,193 = 313,193/x
  3. Step 3: Cross multiply
    150,377x = 313,193 × 313,193
  4. Step 4: Simplify right side
    150,377x = 98,089,855,249
  5. Step 5: Solve for x
    x = 98,089,855,249/150,377
  6. Step 6: Final answer
    x = 652,292.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.