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Finding the Third Proportional to 191,193 and 303,663

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Solution

The third proportional to 191,193 and 303,663 is: 482,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,193 : 303,663 = 303,663 : x
  2. Step 2: Convert to fraction form
    191,193/303,663 = 303,663/x
  3. Step 3: Cross multiply
    191,193x = 303,663 × 303,663
  4. Step 4: Simplify right side
    191,193x = 92,211,217,569
  5. Step 5: Solve for x
    x = 92,211,217,569/191,193
  6. Step 6: Final answer
    x = 482,293.90

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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.