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Finding the Third Proportional to 84,846 and 178,980

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Solution

The third proportional to 84,846 and 178,980 is: 377,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,846 : 178,980 = 178,980 : x
  2. Step 2: Convert to fraction form
    84,846/178,980 = 178,980/x
  3. Step 3: Cross multiply
    84,846x = 178,980 × 178,980
  4. Step 4: Simplify right side
    84,846x = 32,033,840,400
  5. Step 5: Solve for x
    x = 32,033,840,400/84,846
  6. Step 6: Final answer
    x = 377,552.75

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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.