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Finding the Third Proportional to 134,132 and 198,879

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Solution

The third proportional to 134,132 and 198,879 is: 294,880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,132 : 198,879 = 198,879 : x
  2. Step 2: Convert to fraction form
    134,132/198,879 = 198,879/x
  3. Step 3: Cross multiply
    134,132x = 198,879 × 198,879
  4. Step 4: Simplify right side
    134,132x = 39,552,856,641
  5. Step 5: Solve for x
    x = 39,552,856,641/134,132
  6. Step 6: Final answer
    x = 294,880.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.