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Finding the Third Proportional to 184,608 and 397,296

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Solution

The third proportional to 184,608 and 397,296 is: 855,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,608 : 397,296 = 397,296 : x
  2. Step 2: Convert to fraction form
    184,608/397,296 = 397,296/x
  3. Step 3: Cross multiply
    184,608x = 397,296 × 397,296
  4. Step 4: Simplify right side
    184,608x = 157,844,111,616
  5. Step 5: Solve for x
    x = 157,844,111,616/184,608
  6. Step 6: Final answer
    x = 855,023.14

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Why These Related Problems?

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