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Finding the Third Proportional to 84,846 and 178,976

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Solution

The third proportional to 84,846 and 178,976 is: 377,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,846 : 178,976 = 178,976 : x
  2. Step 2: Convert to fraction form
    84,846/178,976 = 178,976/x
  3. Step 3: Cross multiply
    84,846x = 178,976 × 178,976
  4. Step 4: Simplify right side
    84,846x = 32,032,408,576
  5. Step 5: Solve for x
    x = 32,032,408,576/84,846
  6. Step 6: Final answer
    x = 377,535.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.