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Finding the Third Proportional to 198,032 and 416,800

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Solution

The third proportional to 198,032 and 416,800 is: 877,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,032 : 416,800 = 416,800 : x
  2. Step 2: Convert to fraction form
    198,032/416,800 = 416,800/x
  3. Step 3: Cross multiply
    198,032x = 416,800 × 416,800
  4. Step 4: Simplify right side
    198,032x = 173,722,240,000
  5. Step 5: Solve for x
    x = 173,722,240,000/198,032
  6. Step 6: Final answer
    x = 877,243.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.