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Finding the Third Proportional to 183,784 and 395,727

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Solution

The third proportional to 183,784 and 395,727 is: 852,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,784 : 395,727 = 395,727 : x
  2. Step 2: Convert to fraction form
    183,784/395,727 = 395,727/x
  3. Step 3: Cross multiply
    183,784x = 395,727 × 395,727
  4. Step 4: Simplify right side
    183,784x = 156,599,858,529
  5. Step 5: Solve for x
    x = 156,599,858,529/183,784
  6. Step 6: Final answer
    x = 852,086.46

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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.