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Finding the Third Proportional to 167,853.94 and 327,142.13

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Solution

The third proportional to 167,853.94 and 327,142.13 is: 637,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,853.94 : 327,142.13 = 327,142.13 : x
  2. Step 2: Convert to fraction form
    167,853.94/327,142.13 = 327,142.13/x
  3. Step 3: Cross multiply
    167,853.94x = 327,142.13 × 327,142.13
  4. Step 4: Simplify right side
    167,853.94x = 107,021,969,949.52
  5. Step 5: Solve for x
    x = 107,021,969,949.52/167,853.94
  6. Step 6: Final answer
    x = 637,589.87

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.