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Finding the Third Proportional to 118,869 and 243,204

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Solution

The third proportional to 118,869 and 243,204 is: 497,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,869 : 243,204 = 243,204 : x
  2. Step 2: Convert to fraction form
    118,869/243,204 = 243,204/x
  3. Step 3: Cross multiply
    118,869x = 243,204 × 243,204
  4. Step 4: Simplify right side
    118,869x = 59,148,185,616
  5. Step 5: Solve for x
    x = 59,148,185,616/118,869
  6. Step 6: Final answer
    x = 497,591.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.