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Finding the Third Proportional to 182,367 and 284,625

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Solution

The third proportional to 182,367 and 284,625 is: 444,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,367 : 284,625 = 284,625 : x
  2. Step 2: Convert to fraction form
    182,367/284,625 = 284,625/x
  3. Step 3: Cross multiply
    182,367x = 284,625 × 284,625
  4. Step 4: Simplify right side
    182,367x = 81,011,390,625
  5. Step 5: Solve for x
    x = 81,011,390,625/182,367
  6. Step 6: Final answer
    x = 444,221.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.