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Finding the Third Proportional to 179,827 and 279,399

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Solution

The third proportional to 179,827 and 279,399 is: 434,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,827 : 279,399 = 279,399 : x
  2. Step 2: Convert to fraction form
    179,827/279,399 = 279,399/x
  3. Step 3: Cross multiply
    179,827x = 279,399 × 279,399
  4. Step 4: Simplify right side
    179,827x = 78,063,801,201
  5. Step 5: Solve for x
    x = 78,063,801,201/179,827
  6. Step 6: Final answer
    x = 434,105.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.