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Finding the Third Proportional to 167,805 and 327,105

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Solution

The third proportional to 167,805 and 327,105 is: 637,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,805 : 327,105 = 327,105 : x
  2. Step 2: Convert to fraction form
    167,805/327,105 = 327,105/x
  3. Step 3: Cross multiply
    167,805x = 327,105 × 327,105
  4. Step 4: Simplify right side
    167,805x = 106,997,681,025
  5. Step 5: Solve for x
    x = 106,997,681,025/167,805
  6. Step 6: Final answer
    x = 637,631.07

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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.