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Finding the Third Proportional to 141,584.25 and 214,190.25

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Solution

The third proportional to 141,584.25 and 214,190.25 is: 324,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,584.25 : 214,190.25 = 214,190.25 : x
  2. Step 2: Convert to fraction form
    141,584.25/214,190.25 = 214,190.25/x
  3. Step 3: Cross multiply
    141,584.25x = 214,190.25 × 214,190.25
  4. Step 4: Simplify right side
    141,584.25x = 45,877,463,195.06
  5. Step 5: Solve for x
    x = 45,877,463,195.06/141,584.25
  6. Step 6: Final answer
    x = 324,029.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.