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Finding the Third Proportional to 184,260 and 397,608

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Solution

The third proportional to 184,260 and 397,608 is: 857,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,260 : 397,608 = 397,608 : x
  2. Step 2: Convert to fraction form
    184,260/397,608 = 397,608/x
  3. Step 3: Cross multiply
    184,260x = 397,608 × 397,608
  4. Step 4: Simplify right side
    184,260x = 158,092,121,664
  5. Step 5: Solve for x
    x = 158,092,121,664/184,260
  6. Step 6: Final answer
    x = 857,983.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.