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Finding the Third Proportional to 184,937 and 397,963

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Solution

The third proportional to 184,937 and 397,963 is: 856,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,937 : 397,963 = 397,963 : x
  2. Step 2: Convert to fraction form
    184,937/397,963 = 397,963/x
  3. Step 3: Cross multiply
    184,937x = 397,963 × 397,963
  4. Step 4: Simplify right side
    184,937x = 158,374,549,369
  5. Step 5: Solve for x
    x = 158,374,549,369/184,937
  6. Step 6: Final answer
    x = 856,370.27

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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.