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Finding the Third Proportional to 184,077 and 279,760

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Solution

The third proportional to 184,077 and 279,760 is: 425,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,077 : 279,760 = 279,760 : x
  2. Step 2: Convert to fraction form
    184,077/279,760 = 279,760/x
  3. Step 3: Cross multiply
    184,077x = 279,760 × 279,760
  4. Step 4: Simplify right side
    184,077x = 78,265,657,600
  5. Step 5: Solve for x
    x = 78,265,657,600/184,077
  6. Step 6: Final answer
    x = 425,178.91

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