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Finding the Third Proportional to 184,995 and 276,738

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Solution

The third proportional to 184,995 and 276,738 is: 413,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,995 : 276,738 = 276,738 : x
  2. Step 2: Convert to fraction form
    184,995/276,738 = 276,738/x
  3. Step 3: Cross multiply
    184,995x = 276,738 × 276,738
  4. Step 4: Simplify right side
    184,995x = 76,583,920,644
  5. Step 5: Solve for x
    x = 76,583,920,644/184,995
  6. Step 6: Final answer
    x = 413,978.33

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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.