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Finding the Third Proportional to 171,869 and 369,133

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Solution

The third proportional to 171,869 and 369,133 is: 792,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,869 : 369,133 = 369,133 : x
  2. Step 2: Convert to fraction form
    171,869/369,133 = 369,133/x
  3. Step 3: Cross multiply
    171,869x = 369,133 × 369,133
  4. Step 4: Simplify right side
    171,869x = 136,259,171,689
  5. Step 5: Solve for x
    x = 136,259,171,689/171,869
  6. Step 6: Final answer
    x = 792,808.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.