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Finding the Third Proportional to 184,610 and 276,608

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Solution

The third proportional to 184,610 and 276,608 is: 414,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,610 : 276,608 = 276,608 : x
  2. Step 2: Convert to fraction form
    184,610/276,608 = 276,608/x
  3. Step 3: Cross multiply
    184,610x = 276,608 × 276,608
  4. Step 4: Simplify right side
    184,610x = 76,511,985,664
  5. Step 5: Solve for x
    x = 76,511,985,664/184,610
  6. Step 6: Final answer
    x = 414,452.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.