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Finding the Third Proportional to 183,016 and 395,192

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Solution

The third proportional to 183,016 and 395,192 is: 853,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,016 : 395,192 = 395,192 : x
  2. Step 2: Convert to fraction form
    183,016/395,192 = 395,192/x
  3. Step 3: Cross multiply
    183,016x = 395,192 × 395,192
  4. Step 4: Simplify right side
    183,016x = 156,176,716,864
  5. Step 5: Solve for x
    x = 156,176,716,864/183,016
  6. Step 6: Final answer
    x = 853,350.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.