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Finding the Third Proportional to 187,872.70 and 331,112.65

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Solution

The third proportional to 187,872.70 and 331,112.65 is: 583,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,872.70 : 331,112.65 = 331,112.65 : x
  2. Step 2: Convert to fraction form
    187,872.70/331,112.65 = 331,112.65/x
  3. Step 3: Cross multiply
    187,872.70x = 331,112.65 × 331,112.65
  4. Step 4: Simplify right side
    187,872.70x = 109,635,589,835.54
  5. Step 5: Solve for x
    x = 109,635,589,835.54/187,872.70
  6. Step 6: Final answer
    x = 583,563.19

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.