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Finding the Third Proportional to 79,452 and 173,372

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Solution

The third proportional to 79,452 and 173,372 is: 378,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,452 : 173,372 = 173,372 : x
  2. Step 2: Convert to fraction form
    79,452/173,372 = 173,372/x
  3. Step 3: Cross multiply
    79,452x = 173,372 × 173,372
  4. Step 4: Simplify right side
    79,452x = 30,057,850,384
  5. Step 5: Solve for x
    x = 30,057,850,384/79,452
  6. Step 6: Final answer
    x = 378,314.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.