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Finding the Third Proportional to 167,802 and 327,102

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Solution

The third proportional to 167,802 and 327,102 is: 637,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,802 : 327,102 = 327,102 : x
  2. Step 2: Convert to fraction form
    167,802/327,102 = 327,102/x
  3. Step 3: Cross multiply
    167,802x = 327,102 × 327,102
  4. Step 4: Simplify right side
    167,802x = 106,995,718,404
  5. Step 5: Solve for x
    x = 106,995,718,404/167,802
  6. Step 6: Final answer
    x = 637,630.77

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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.