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Finding the Third Proportional to 184,753 and 397,998

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Solution

The third proportional to 184,753 and 397,998 is: 857,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,753 : 397,998 = 397,998 : x
  2. Step 2: Convert to fraction form
    184,753/397,998 = 397,998/x
  3. Step 3: Cross multiply
    184,753x = 397,998 × 397,998
  4. Step 4: Simplify right side
    184,753x = 158,402,408,004
  5. Step 5: Solve for x
    x = 158,402,408,004/184,753
  6. Step 6: Final answer
    x = 857,373.94

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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.