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Finding the Third Proportional to 146,322 and 198,738

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Solution

The third proportional to 146,322 and 198,738 is: 269,930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,322 : 198,738 = 198,738 : x
  2. Step 2: Convert to fraction form
    146,322/198,738 = 198,738/x
  3. Step 3: Cross multiply
    146,322x = 198,738 × 198,738
  4. Step 4: Simplify right side
    146,322x = 39,496,792,644
  5. Step 5: Solve for x
    x = 39,496,792,644/146,322
  6. Step 6: Final answer
    x = 269,930.65

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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.