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Finding the Third Proportional to 183,869 and 396,784

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Solution

The third proportional to 183,869 and 396,784 is: 856,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,869 : 396,784 = 396,784 : x
  2. Step 2: Convert to fraction form
    183,869/396,784 = 396,784/x
  3. Step 3: Cross multiply
    183,869x = 396,784 × 396,784
  4. Step 4: Simplify right side
    183,869x = 157,437,542,656
  5. Step 5: Solve for x
    x = 157,437,542,656/183,869
  6. Step 6: Final answer
    x = 856,248.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.