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Finding the Third Proportional to 184,612 and 276,610

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Solution

The third proportional to 184,612 and 276,610 is: 414,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,612 : 276,610 = 276,610 : x
  2. Step 2: Convert to fraction form
    184,612/276,610 = 276,610/x
  3. Step 3: Cross multiply
    184,612x = 276,610 × 276,610
  4. Step 4: Simplify right side
    184,612x = 76,513,092,100
  5. Step 5: Solve for x
    x = 76,513,092,100/184,612
  6. Step 6: Final answer
    x = 414,453.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.