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Finding the Third Proportional to 175,086 and 381,856

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Solution

The third proportional to 175,086 and 381,856 is: 832,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,086 : 381,856 = 381,856 : x
  2. Step 2: Convert to fraction form
    175,086/381,856 = 381,856/x
  3. Step 3: Cross multiply
    175,086x = 381,856 × 381,856
  4. Step 4: Simplify right side
    175,086x = 145,814,004,736
  5. Step 5: Solve for x
    x = 145,814,004,736/175,086
  6. Step 6: Final answer
    x = 832,813.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.