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Finding the Third Proportional to 79,327 and 166,436

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Solution

The third proportional to 79,327 and 166,436 is: 349,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,327 : 166,436 = 166,436 : x
  2. Step 2: Convert to fraction form
    79,327/166,436 = 166,436/x
  3. Step 3: Cross multiply
    79,327x = 166,436 × 166,436
  4. Step 4: Simplify right side
    79,327x = 27,700,942,096
  5. Step 5: Solve for x
    x = 27,700,942,096/79,327
  6. Step 6: Final answer
    x = 349,199.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.