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Finding the Third Proportional to 146,448 and 198,936

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Solution

The third proportional to 146,448 and 198,936 is: 270,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,448 : 198,936 = 198,936 : x
  2. Step 2: Convert to fraction form
    146,448/198,936 = 198,936/x
  3. Step 3: Cross multiply
    146,448x = 198,936 × 198,936
  4. Step 4: Simplify right side
    146,448x = 39,575,532,096
  5. Step 5: Solve for x
    x = 39,575,532,096/146,448
  6. Step 6: Final answer
    x = 270,236.07

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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.