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Finding the Third Proportional to 184,848 and 276,040

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Solution

The third proportional to 184,848 and 276,040 is: 412,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,848 : 276,040 = 276,040 : x
  2. Step 2: Convert to fraction form
    184,848/276,040 = 276,040/x
  3. Step 3: Cross multiply
    184,848x = 276,040 × 276,040
  4. Step 4: Simplify right side
    184,848x = 76,198,081,600
  5. Step 5: Solve for x
    x = 76,198,081,600/184,848
  6. Step 6: Final answer
    x = 412,220.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.