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Finding the Third Proportional to 182,433 and 399,227

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Solution

The third proportional to 182,433 and 399,227 is: 873,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,433 : 399,227 = 399,227 : x
  2. Step 2: Convert to fraction form
    182,433/399,227 = 399,227/x
  3. Step 3: Cross multiply
    182,433x = 399,227 × 399,227
  4. Step 4: Simplify right side
    182,433x = 159,382,197,529
  5. Step 5: Solve for x
    x = 159,382,197,529/182,433
  6. Step 6: Final answer
    x = 873,647.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.