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Finding the Third Proportional to 81,467 and 170,381.50

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Solution

The third proportional to 81,467 and 170,381.50 is: 356,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,467 : 170,381.50 = 170,381.50 : x
  2. Step 2: Convert to fraction form
    81,467/170,381.50 = 170,381.50/x
  3. Step 3: Cross multiply
    81,467x = 170,381.50 × 170,381.50
  4. Step 4: Simplify right side
    81,467x = 29,029,855,542.25
  5. Step 5: Solve for x
    x = 29,029,855,542.25/81,467
  6. Step 6: Final answer
    x = 356,338.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.