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Finding the Third Proportional to 184,471 and 280,535

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Solution

The third proportional to 184,471 and 280,535 is: 426,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,471 : 280,535 = 280,535 : x
  2. Step 2: Convert to fraction form
    184,471/280,535 = 280,535/x
  3. Step 3: Cross multiply
    184,471x = 280,535 × 280,535
  4. Step 4: Simplify right side
    184,471x = 78,699,886,225
  5. Step 5: Solve for x
    x = 78,699,886,225/184,471
  6. Step 6: Final answer
    x = 426,624.71

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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.