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Finding the Third Proportional to 184,710 and 397,672

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Solution

The third proportional to 184,710 and 397,672 is: 856,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,710 : 397,672 = 397,672 : x
  2. Step 2: Convert to fraction form
    184,710/397,672 = 397,672/x
  3. Step 3: Cross multiply
    184,710x = 397,672 × 397,672
  4. Step 4: Simplify right side
    184,710x = 158,143,019,584
  5. Step 5: Solve for x
    x = 158,143,019,584/184,710
  6. Step 6: Final answer
    x = 856,169.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.