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Finding the Third Proportional to 104,847 and 228,126

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Solution

The third proportional to 104,847 and 228,126 is: 496,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,847 : 228,126 = 228,126 : x
  2. Step 2: Convert to fraction form
    104,847/228,126 = 228,126/x
  3. Step 3: Cross multiply
    104,847x = 228,126 × 228,126
  4. Step 4: Simplify right side
    104,847x = 52,041,471,876
  5. Step 5: Solve for x
    x = 52,041,471,876/104,847
  6. Step 6: Final answer
    x = 496,356.33

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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.