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Finding the Third Proportional to 184,993 and 276,735

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Solution

The third proportional to 184,993 and 276,735 is: 413,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,993 : 276,735 = 276,735 : x
  2. Step 2: Convert to fraction form
    184,993/276,735 = 276,735/x
  3. Step 3: Cross multiply
    184,993x = 276,735 × 276,735
  4. Step 4: Simplify right side
    184,993x = 76,582,260,225
  5. Step 5: Solve for x
    x = 76,582,260,225/184,993
  6. Step 6: Final answer
    x = 413,973.83

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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.