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Finding the Third Proportional to 167,794 and 327,082

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Solution

The third proportional to 167,794 and 327,082 is: 637,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,794 : 327,082 = 327,082 : x
  2. Step 2: Convert to fraction form
    167,794/327,082 = 327,082/x
  3. Step 3: Cross multiply
    167,794x = 327,082 × 327,082
  4. Step 4: Simplify right side
    167,794x = 106,982,634,724
  5. Step 5: Solve for x
    x = 106,982,634,724/167,794
  6. Step 6: Final answer
    x = 637,583.20

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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.