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Finding the Third Proportional to 146,288 and 198,696

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Solution

The third proportional to 146,288 and 198,696 is: 269,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,288 : 198,696 = 198,696 : x
  2. Step 2: Convert to fraction form
    146,288/198,696 = 198,696/x
  3. Step 3: Cross multiply
    146,288x = 198,696 × 198,696
  4. Step 4: Simplify right side
    146,288x = 39,480,100,416
  5. Step 5: Solve for x
    x = 39,480,100,416/146,288
  6. Step 6: Final answer
    x = 269,879.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.