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Finding the Third Proportional to 183,786 and 395,744

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Solution

The third proportional to 183,786 and 395,744 is: 852,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,786 : 395,744 = 395,744 : x
  2. Step 2: Convert to fraction form
    183,786/395,744 = 395,744/x
  3. Step 3: Cross multiply
    183,786x = 395,744 × 395,744
  4. Step 4: Simplify right side
    183,786x = 156,613,313,536
  5. Step 5: Solve for x
    x = 156,613,313,536/183,786
  6. Step 6: Final answer
    x = 852,150.40

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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.