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Finding the Third Proportional to 199,192 and 416,852

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Solution

The third proportional to 199,192 and 416,852 is: 872,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,192 : 416,852 = 416,852 : x
  2. Step 2: Convert to fraction form
    199,192/416,852 = 416,852/x
  3. Step 3: Cross multiply
    199,192x = 416,852 × 416,852
  4. Step 4: Simplify right side
    199,192x = 173,765,589,904
  5. Step 5: Solve for x
    x = 173,765,589,904/199,192
  6. Step 6: Final answer
    x = 872,352.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.