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Finding the Third Proportional to 84,529 and 178,488.75

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Solution

The third proportional to 84,529 and 178,488.75 is: 376,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,529 : 178,488.75 = 178,488.75 : x
  2. Step 2: Convert to fraction form
    84,529/178,488.75 = 178,488.75/x
  3. Step 3: Cross multiply
    84,529x = 178,488.75 × 178,488.75
  4. Step 4: Simplify right side
    84,529x = 31,858,233,876.56
  5. Step 5: Solve for x
    x = 31,858,233,876.56/84,529
  6. Step 6: Final answer
    x = 376,891.17

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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.