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Finding the Third Proportional to 246,982.50 and 381,287.25

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Solution

The third proportional to 246,982.50 and 381,287.25 is: 588,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,982.50 : 381,287.25 = 381,287.25 : x
  2. Step 2: Convert to fraction form
    246,982.50/381,287.25 = 381,287.25/x
  3. Step 3: Cross multiply
    246,982.50x = 381,287.25 × 381,287.25
  4. Step 4: Simplify right side
    246,982.50x = 145,379,967,012.56
  5. Step 5: Solve for x
    x = 145,379,967,012.56/246,982.50
  6. Step 6: Final answer
    x = 588,624.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.