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Finding the Third Proportional to 184,567 and 280,584

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Solution

The third proportional to 184,567 and 280,584 is: 426,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,567 : 280,584 = 280,584 : x
  2. Step 2: Convert to fraction form
    184,567/280,584 = 280,584/x
  3. Step 3: Cross multiply
    184,567x = 280,584 × 280,584
  4. Step 4: Simplify right side
    184,567x = 78,727,381,056
  5. Step 5: Solve for x
    x = 78,727,381,056/184,567
  6. Step 6: Final answer
    x = 426,551.77

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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.