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Finding the Third Proportional to 134,334 and 199,622

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Solution

The third proportional to 134,334 and 199,622 is: 296,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,334 : 199,622 = 199,622 : x
  2. Step 2: Convert to fraction form
    134,334/199,622 = 199,622/x
  3. Step 3: Cross multiply
    134,334x = 199,622 × 199,622
  4. Step 4: Simplify right side
    134,334x = 39,848,942,884
  5. Step 5: Solve for x
    x = 39,848,942,884/134,334
  6. Step 6: Final answer
    x = 296,640.78

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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.