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Finding the Third Proportional to 118,869 and 247,701

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Solution

The third proportional to 118,869 and 247,701 is: 516,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,869 : 247,701 = 247,701 : x
  2. Step 2: Convert to fraction form
    118,869/247,701 = 247,701/x
  3. Step 3: Cross multiply
    118,869x = 247,701 × 247,701
  4. Step 4: Simplify right side
    118,869x = 61,355,785,401
  5. Step 5: Solve for x
    x = 61,355,785,401/118,869
  6. Step 6: Final answer
    x = 516,163.05

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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.