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Finding the Third Proportional to 184,494 and 276,745

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Solution

The third proportional to 184,494 and 276,745 is: 415,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,494 : 276,745 = 276,745 : x
  2. Step 2: Convert to fraction form
    184,494/276,745 = 276,745/x
  3. Step 3: Cross multiply
    184,494x = 276,745 × 276,745
  4. Step 4: Simplify right side
    184,494x = 76,587,795,025
  5. Step 5: Solve for x
    x = 76,587,795,025/184,494
  6. Step 6: Final answer
    x = 415,123.50

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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.