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Finding the Third Proportional to 167,782 and 327,056

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Solution

The third proportional to 167,782 and 327,056 is: 637,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,782 : 327,056 = 327,056 : x
  2. Step 2: Convert to fraction form
    167,782/327,056 = 327,056/x
  3. Step 3: Cross multiply
    167,782x = 327,056 × 327,056
  4. Step 4: Simplify right side
    167,782x = 106,965,627,136
  5. Step 5: Solve for x
    x = 106,965,627,136/167,782
  6. Step 6: Final answer
    x = 637,527.43

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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.