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Finding the Third Proportional to 141,213.38 and 197,513.44

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Solution

The third proportional to 141,213.38 and 197,513.44 is: 276,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,213.38 : 197,513.44 = 197,513.44 : x
  2. Step 2: Convert to fraction form
    141,213.38/197,513.44 = 197,513.44/x
  3. Step 3: Cross multiply
    141,213.38x = 197,513.44 × 197,513.44
  4. Step 4: Simplify right side
    141,213.38x = 39,011,557,993.07
  5. Step 5: Solve for x
    x = 39,011,557,993.07/141,213.38
  6. Step 6: Final answer
    x = 276,259.65

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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.