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Finding the Third Proportional to 141,911.44 and 236,509.31

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Solution

The third proportional to 141,911.44 and 236,509.31 is: 394,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,911.44 : 236,509.31 = 236,509.31 : x
  2. Step 2: Convert to fraction form
    141,911.44/236,509.31 = 236,509.31/x
  3. Step 3: Cross multiply
    141,911.44x = 236,509.31 × 236,509.31
  4. Step 4: Simplify right side
    141,911.44x = 55,936,654,899.22
  5. Step 5: Solve for x
    x = 55,936,654,899.22/141,911.44
  6. Step 6: Final answer
    x = 394,165.94

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.