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Finding the Third Proportional to 191,137 and 303,655

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Solution

The third proportional to 191,137 and 303,655 is: 482,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,137 : 303,655 = 303,655 : x
  2. Step 2: Convert to fraction form
    191,137/303,655 = 303,655/x
  3. Step 3: Cross multiply
    191,137x = 303,655 × 303,655
  4. Step 4: Simplify right side
    191,137x = 92,206,359,025
  5. Step 5: Solve for x
    x = 92,206,359,025/191,137
  6. Step 6: Final answer
    x = 482,409.78

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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.