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Finding the Third Proportional to 146,216 and 198,132

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Solution

The third proportional to 146,216 and 198,132 is: 268,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,216 : 198,132 = 198,132 : x
  2. Step 2: Convert to fraction form
    146,216/198,132 = 198,132/x
  3. Step 3: Cross multiply
    146,216x = 198,132 × 198,132
  4. Step 4: Simplify right side
    146,216x = 39,256,289,424
  5. Step 5: Solve for x
    x = 39,256,289,424/146,216
  6. Step 6: Final answer
    x = 268,481.49

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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.