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Finding the Third Proportional to 184,434 and 397,932

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Solution

The third proportional to 184,434 and 397,932 is: 858,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,434 : 397,932 = 397,932 : x
  2. Step 2: Convert to fraction form
    184,434/397,932 = 397,932/x
  3. Step 3: Cross multiply
    184,434x = 397,932 × 397,932
  4. Step 4: Simplify right side
    184,434x = 158,349,876,624
  5. Step 5: Solve for x
    x = 158,349,876,624/184,434
  6. Step 6: Final answer
    x = 858,572.05

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Why These Related Problems?

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