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Finding the Third Proportional to 171,436 and 382,616

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Solution

The third proportional to 171,436 and 382,616 is: 853,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,436 : 382,616 = 382,616 : x
  2. Step 2: Convert to fraction form
    171,436/382,616 = 382,616/x
  3. Step 3: Cross multiply
    171,436x = 382,616 × 382,616
  4. Step 4: Simplify right side
    171,436x = 146,395,003,456
  5. Step 5: Solve for x
    x = 146,395,003,456/171,436
  6. Step 6: Final answer
    x = 853,933.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.