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Finding the Third Proportional to 184,929 and 397,950

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Solution

The third proportional to 184,929 and 397,950 is: 856,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,929 : 397,950 = 397,950 : x
  2. Step 2: Convert to fraction form
    184,929/397,950 = 397,950/x
  3. Step 3: Cross multiply
    184,929x = 397,950 × 397,950
  4. Step 4: Simplify right side
    184,929x = 158,364,202,500
  5. Step 5: Solve for x
    x = 158,364,202,500/184,929
  6. Step 6: Final answer
    x = 856,351.37

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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.