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Finding the Third Proportional to 134,336 and 199,626

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Solution

The third proportional to 134,336 and 199,626 is: 296,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,336 : 199,626 = 199,626 : x
  2. Step 2: Convert to fraction form
    134,336/199,626 = 199,626/x
  3. Step 3: Cross multiply
    134,336x = 199,626 × 199,626
  4. Step 4: Simplify right side
    134,336x = 39,850,539,876
  5. Step 5: Solve for x
    x = 39,850,539,876/134,336
  6. Step 6: Final answer
    x = 296,648.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.