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Finding the Third Proportional to 199,519 and 279,961

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Solution

The third proportional to 199,519 and 279,961 is: 392,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,519 : 279,961 = 279,961 : x
  2. Step 2: Convert to fraction form
    199,519/279,961 = 279,961/x
  3. Step 3: Cross multiply
    199,519x = 279,961 × 279,961
  4. Step 4: Simplify right side
    199,519x = 78,378,161,521
  5. Step 5: Solve for x
    x = 78,378,161,521/199,519
  6. Step 6: Final answer
    x = 392,835.58

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.