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Finding the Third Proportional to 141,138.75 and 201,198.38

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Solution

The third proportional to 141,138.75 and 201,198.38 is: 286,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,138.75 : 201,198.38 = 201,198.38 : x
  2. Step 2: Convert to fraction form
    141,138.75/201,198.38 = 201,198.38/x
  3. Step 3: Cross multiply
    141,138.75x = 201,198.38 × 201,198.38
  4. Step 4: Simplify right side
    141,138.75x = 40,480,786,102.64
  5. Step 5: Solve for x
    x = 40,480,786,102.64/141,138.75
  6. Step 6: Final answer
    x = 286,815.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.