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Finding the Third Proportional to 104,869 and 228,169

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Solution

The third proportional to 104,869 and 228,169 is: 496,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,869 : 228,169 = 228,169 : x
  2. Step 2: Convert to fraction form
    104,869/228,169 = 228,169/x
  3. Step 3: Cross multiply
    104,869x = 228,169 × 228,169
  4. Step 4: Simplify right side
    104,869x = 52,061,092,561
  5. Step 5: Solve for x
    x = 52,061,092,561/104,869
  6. Step 6: Final answer
    x = 496,439.30

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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.