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Finding the Third Proportional to 183,781 and 395,735

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Solution

The third proportional to 183,781 and 395,735 is: 852,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,781 : 395,735 = 395,735 : x
  2. Step 2: Convert to fraction form
    183,781/395,735 = 395,735/x
  3. Step 3: Cross multiply
    183,781x = 395,735 × 395,735
  4. Step 4: Simplify right side
    183,781x = 156,606,190,225
  5. Step 5: Solve for x
    x = 156,606,190,225/183,781
  6. Step 6: Final answer
    x = 852,134.82

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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.