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Finding the Third Proportional to 182,355 and 379,206

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Solution

The third proportional to 182,355 and 379,206 is: 788,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,355 : 379,206 = 379,206 : x
  2. Step 2: Convert to fraction form
    182,355/379,206 = 379,206/x
  3. Step 3: Cross multiply
    182,355x = 379,206 × 379,206
  4. Step 4: Simplify right side
    182,355x = 143,797,190,436
  5. Step 5: Solve for x
    x = 143,797,190,436/182,355
  6. Step 6: Final answer
    x = 788,556.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.