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Finding the Third Proportional to 192,284 and 417,016

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Solution

The third proportional to 192,284 and 417,016 is: 904,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,284 : 417,016 = 417,016 : x
  2. Step 2: Convert to fraction form
    192,284/417,016 = 417,016/x
  3. Step 3: Cross multiply
    192,284x = 417,016 × 417,016
  4. Step 4: Simplify right side
    192,284x = 173,902,344,256
  5. Step 5: Solve for x
    x = 173,902,344,256/192,284
  6. Step 6: Final answer
    x = 904,403.61

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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.