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Finding the Third Proportional to 184,079 and 279,763

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Solution

The third proportional to 184,079 and 279,763 is: 425,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,079 : 279,763 = 279,763 : x
  2. Step 2: Convert to fraction form
    184,079/279,763 = 279,763/x
  3. Step 3: Cross multiply
    184,079x = 279,763 × 279,763
  4. Step 4: Simplify right side
    184,079x = 78,267,336,169
  5. Step 5: Solve for x
    x = 78,267,336,169/184,079
  6. Step 6: Final answer
    x = 425,183.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.