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Finding the Third Proportional to 182,198 and 399,496

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Solution

The third proportional to 182,198 and 399,496 is: 875,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,198 : 399,496 = 399,496 : x
  2. Step 2: Convert to fraction form
    182,198/399,496 = 399,496/x
  3. Step 3: Cross multiply
    182,198x = 399,496 × 399,496
  4. Step 4: Simplify right side
    182,198x = 159,597,054,016
  5. Step 5: Solve for x
    x = 159,597,054,016/182,198
  6. Step 6: Final answer
    x = 875,953.93

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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.