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Finding the Third Proportional to 129,002 and 199,338

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Solution

The third proportional to 129,002 and 199,338 is: 308,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,002 : 199,338 = 199,338 : x
  2. Step 2: Convert to fraction form
    129,002/199,338 = 199,338/x
  3. Step 3: Cross multiply
    129,002x = 199,338 × 199,338
  4. Step 4: Simplify right side
    129,002x = 39,735,638,244
  5. Step 5: Solve for x
    x = 39,735,638,244/129,002
  6. Step 6: Final answer
    x = 308,023.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.