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Finding the Third Proportional to 184,708 and 397,668

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Solution

The third proportional to 184,708 and 397,668 is: 856,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,708 : 397,668 = 397,668 : x
  2. Step 2: Convert to fraction form
    184,708/397,668 = 397,668/x
  3. Step 3: Cross multiply
    184,708x = 397,668 × 397,668
  4. Step 4: Simplify right side
    184,708x = 158,139,838,224
  5. Step 5: Solve for x
    x = 158,139,838,224/184,708
  6. Step 6: Final answer
    x = 856,161.28

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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.