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Finding the Third Proportional to 191,007 and 394,119

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Solution

The third proportional to 191,007 and 394,119 is: 813,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,007 : 394,119 = 394,119 : x
  2. Step 2: Convert to fraction form
    191,007/394,119 = 394,119/x
  3. Step 3: Cross multiply
    191,007x = 394,119 × 394,119
  4. Step 4: Simplify right side
    191,007x = 155,329,786,161
  5. Step 5: Solve for x
    x = 155,329,786,161/191,007
  6. Step 6: Final answer
    x = 813,215.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.