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Finding the Third Proportional to 184,446.49 and 276,840.91

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Solution

The third proportional to 184,446.49 and 276,840.91 is: 415,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,446.49 : 276,840.91 = 276,840.91 : x
  2. Step 2: Convert to fraction form
    184,446.49/276,840.91 = 276,840.91/x
  3. Step 3: Cross multiply
    184,446.49x = 276,840.91 × 276,840.91
  4. Step 4: Simplify right side
    184,446.49x = 76,640,891,698.96
  5. Step 5: Solve for x
    x = 76,640,891,698.96/184,446.49
  6. Step 6: Final answer
    x = 415,518.29

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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.