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Finding the Third Proportional to 201,993 and 425,856

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Solution

The third proportional to 201,993 and 425,856 is: 897,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,993 : 425,856 = 425,856 : x
  2. Step 2: Convert to fraction form
    201,993/425,856 = 425,856/x
  3. Step 3: Cross multiply
    201,993x = 425,856 × 425,856
  4. Step 4: Simplify right side
    201,993x = 181,353,332,736
  5. Step 5: Solve for x
    x = 181,353,332,736/201,993
  6. Step 6: Final answer
    x = 897,819.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.