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Finding the Third Proportional to 109,775 and 228,163

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Solution

The third proportional to 109,775 and 228,163 is: 474,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,775 : 228,163 = 228,163 : x
  2. Step 2: Convert to fraction form
    109,775/228,163 = 228,163/x
  3. Step 3: Cross multiply
    109,775x = 228,163 × 228,163
  4. Step 4: Simplify right side
    109,775x = 52,058,354,569
  5. Step 5: Solve for x
    x = 52,058,354,569/109,775
  6. Step 6: Final answer
    x = 474,227.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.