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Finding the Third Proportional to 182,235 and 399,891

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Solution

The third proportional to 182,235 and 399,891 is: 877,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,235 : 399,891 = 399,891 : x
  2. Step 2: Convert to fraction form
    182,235/399,891 = 399,891/x
  3. Step 3: Cross multiply
    182,235x = 399,891 × 399,891
  4. Step 4: Simplify right side
    182,235x = 159,912,811,881
  5. Step 5: Solve for x
    x = 159,912,811,881/182,235
  6. Step 6: Final answer
    x = 877,508.78

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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.