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Finding the Third Proportional to 184,992.75 and 276,745.50

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Solution

The third proportional to 184,992.75 and 276,745.50 is: 414,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,992.75 : 276,745.50 = 276,745.50 : x
  2. Step 2: Convert to fraction form
    184,992.75/276,745.50 = 276,745.50/x
  3. Step 3: Cross multiply
    184,992.75x = 276,745.50 × 276,745.50
  4. Step 4: Simplify right side
    184,992.75x = 76,588,071,770.25
  5. Step 5: Solve for x
    x = 76,588,071,770.25/184,992.75
  6. Step 6: Final answer
    x = 414,005.80

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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.