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Finding the Third Proportional to 184,691 and 397,630

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Solution

The third proportional to 184,691 and 397,630 is: 856,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,691 : 397,630 = 397,630 : x
  2. Step 2: Convert to fraction form
    184,691/397,630 = 397,630/x
  3. Step 3: Cross multiply
    184,691x = 397,630 × 397,630
  4. Step 4: Simplify right side
    184,691x = 158,109,616,900
  5. Step 5: Solve for x
    x = 158,109,616,900/184,691
  6. Step 6: Final answer
    x = 856,076.46

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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.