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Finding the Third Proportional to 183,944.25 and 395,957.25

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Solution

The third proportional to 183,944.25 and 395,957.25 is: 852,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,944.25 : 395,957.25 = 395,957.25 : x
  2. Step 2: Convert to fraction form
    183,944.25/395,957.25 = 395,957.25/x
  3. Step 3: Cross multiply
    183,944.25x = 395,957.25 × 395,957.25
  4. Step 4: Simplify right side
    183,944.25x = 156,782,143,827.56
  5. Step 5: Solve for x
    x = 156,782,143,827.56/183,944.25
  6. Step 6: Final answer
    x = 852,335.12

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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.