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Finding the Third Proportional to 182,366 and 379,225

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Solution

The third proportional to 182,366 and 379,225 is: 788,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,366 : 379,225 = 379,225 : x
  2. Step 2: Convert to fraction form
    182,366/379,225 = 379,225/x
  3. Step 3: Cross multiply
    182,366x = 379,225 × 379,225
  4. Step 4: Simplify right side
    182,366x = 143,811,600,625
  5. Step 5: Solve for x
    x = 143,811,600,625/182,366
  6. Step 6: Final answer
    x = 788,587.79

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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.