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Finding the Third Proportional to 183,001 and 396,550

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Solution

The third proportional to 183,001 and 396,550 is: 859,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,001 : 396,550 = 396,550 : x
  2. Step 2: Convert to fraction form
    183,001/396,550 = 396,550/x
  3. Step 3: Cross multiply
    183,001x = 396,550 × 396,550
  4. Step 4: Simplify right side
    183,001x = 157,251,902,500
  5. Step 5: Solve for x
    x = 157,251,902,500/183,001
  6. Step 6: Final answer
    x = 859,295.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.