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Finding the Third Proportional to 141,279.75 and 198,003.38

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Solution

The third proportional to 141,279.75 and 198,003.38 is: 277,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,279.75 : 198,003.38 = 198,003.38 : x
  2. Step 2: Convert to fraction form
    141,279.75/198,003.38 = 198,003.38/x
  3. Step 3: Cross multiply
    141,279.75x = 198,003.38 × 198,003.38
  4. Step 4: Simplify right side
    141,279.75x = 39,205,336,511.39
  5. Step 5: Solve for x
    x = 39,205,336,511.39/141,279.75
  6. Step 6: Final answer
    x = 277,501.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.