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Finding the Third Proportional to 89,296 and 198,176

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Solution

The third proportional to 89,296 and 198,176 is: 439,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,296 : 198,176 = 198,176 : x
  2. Step 2: Convert to fraction form
    89,296/198,176 = 198,176/x
  3. Step 3: Cross multiply
    89,296x = 198,176 × 198,176
  4. Step 4: Simplify right side
    89,296x = 39,273,726,976
  5. Step 5: Solve for x
    x = 39,273,726,976/89,296
  6. Step 6: Final answer
    x = 439,815.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.