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Finding the Third Proportional to 146,888 and 198,187

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Solution

The third proportional to 146,888 and 198,187 is: 267,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,888 : 198,187 = 198,187 : x
  2. Step 2: Convert to fraction form
    146,888/198,187 = 198,187/x
  3. Step 3: Cross multiply
    146,888x = 198,187 × 198,187
  4. Step 4: Simplify right side
    146,888x = 39,278,086,969
  5. Step 5: Solve for x
    x = 39,278,086,969/146,888
  6. Step 6: Final answer
    x = 267,401.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.