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Finding the Third Proportional to 141,891.75 and 219,709.13

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Solution

The third proportional to 141,891.75 and 219,709.13 is: 340,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,891.75 : 219,709.13 = 219,709.13 : x
  2. Step 2: Convert to fraction form
    141,891.75/219,709.13 = 219,709.13/x
  3. Step 3: Cross multiply
    141,891.75x = 219,709.13 × 219,709.13
  4. Step 4: Simplify right side
    141,891.75x = 48,272,099,608.27
  5. Step 5: Solve for x
    x = 48,272,099,608.27/141,891.75
  6. Step 6: Final answer
    x = 340,203.71

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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.