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Finding the Third Proportional to 172,614 and 379,356

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Solution

The third proportional to 172,614 and 379,356 is: 833,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,614 : 379,356 = 379,356 : x
  2. Step 2: Convert to fraction form
    172,614/379,356 = 379,356/x
  3. Step 3: Cross multiply
    172,614x = 379,356 × 379,356
  4. Step 4: Simplify right side
    172,614x = 143,910,974,736
  5. Step 5: Solve for x
    x = 143,910,974,736/172,614
  6. Step 6: Final answer
    x = 833,715.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.