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Finding the Third Proportional to 182,202 and 399,504

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Solution

The third proportional to 182,202 and 399,504 is: 875,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,202 : 399,504 = 399,504 : x
  2. Step 2: Convert to fraction form
    182,202/399,504 = 399,504/x
  3. Step 3: Cross multiply
    182,202x = 399,504 × 399,504
  4. Step 4: Simplify right side
    182,202x = 159,603,446,016
  5. Step 5: Solve for x
    x = 159,603,446,016/182,202
  6. Step 6: Final answer
    x = 875,969.78

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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.