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Finding the Third Proportional to 84,865 and 182,846

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Solution

The third proportional to 84,865 and 182,846 is: 393,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,865 : 182,846 = 182,846 : x
  2. Step 2: Convert to fraction form
    84,865/182,846 = 182,846/x
  3. Step 3: Cross multiply
    84,865x = 182,846 × 182,846
  4. Step 4: Simplify right side
    84,865x = 33,432,659,716
  5. Step 5: Solve for x
    x = 33,432,659,716/84,865
  6. Step 6: Final answer
    x = 393,951.10

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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.