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Finding the Third Proportional to 84,864 and 182,844

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Solution

The third proportional to 84,864 and 182,844 is: 393,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,864 : 182,844 = 182,844 : x
  2. Step 2: Convert to fraction form
    84,864/182,844 = 182,844/x
  3. Step 3: Cross multiply
    84,864x = 182,844 × 182,844
  4. Step 4: Simplify right side
    84,864x = 33,431,928,336
  5. Step 5: Solve for x
    x = 33,431,928,336/84,864
  6. Step 6: Final answer
    x = 393,947.12

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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.