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Finding the Third Proportional to 146,340 and 198,768

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Solution

The third proportional to 146,340 and 198,768 is: 269,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,340 : 198,768 = 198,768 : x
  2. Step 2: Convert to fraction form
    146,340/198,768 = 198,768/x
  3. Step 3: Cross multiply
    146,340x = 198,768 × 198,768
  4. Step 4: Simplify right side
    146,340x = 39,508,717,824
  5. Step 5: Solve for x
    x = 39,508,717,824/146,340
  6. Step 6: Final answer
    x = 269,978.94

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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.