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Finding the Third Proportional to 202,934 and 323,193

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Solution

The third proportional to 202,934 and 323,193 is: 514,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,934 : 323,193 = 323,193 : x
  2. Step 2: Convert to fraction form
    202,934/323,193 = 323,193/x
  3. Step 3: Cross multiply
    202,934x = 323,193 × 323,193
  4. Step 4: Simplify right side
    202,934x = 104,453,715,249
  5. Step 5: Solve for x
    x = 104,453,715,249/202,934
  6. Step 6: Final answer
    x = 514,717.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.