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Finding the Third Proportional to 184,723 and 397,940

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Solution

The third proportional to 184,723 and 397,940 is: 857,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,723 : 397,940 = 397,940 : x
  2. Step 2: Convert to fraction form
    184,723/397,940 = 397,940/x
  3. Step 3: Cross multiply
    184,723x = 397,940 × 397,940
  4. Step 4: Simplify right side
    184,723x = 158,356,243,600
  5. Step 5: Solve for x
    x = 158,356,243,600/184,723
  6. Step 6: Final answer
    x = 857,263.27

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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.