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Finding the Third Proportional to 192,202 and 416,852

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Solution

The third proportional to 192,202 and 416,852 is: 904,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,202 : 416,852 = 416,852 : x
  2. Step 2: Convert to fraction form
    192,202/416,852 = 416,852/x
  3. Step 3: Cross multiply
    192,202x = 416,852 × 416,852
  4. Step 4: Simplify right side
    192,202x = 173,765,589,904
  5. Step 5: Solve for x
    x = 173,765,589,904/192,202
  6. Step 6: Final answer
    x = 904,077.95

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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.