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Finding the Third Proportional to 143,869 and 217,802

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Solution

The third proportional to 143,869 and 217,802 is: 329,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,869 : 217,802 = 217,802 : x
  2. Step 2: Convert to fraction form
    143,869/217,802 = 217,802/x
  3. Step 3: Cross multiply
    143,869x = 217,802 × 217,802
  4. Step 4: Simplify right side
    143,869x = 47,437,711,204
  5. Step 5: Solve for x
    x = 47,437,711,204/143,869
  6. Step 6: Final answer
    x = 329,728.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.