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Finding the Third Proportional to 141,208.31 and 197,958.94

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Solution

The third proportional to 141,208.31 and 197,958.94 is: 277,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,208.31 : 197,958.94 = 197,958.94 : x
  2. Step 2: Convert to fraction form
    141,208.31/197,958.94 = 197,958.94/x
  3. Step 3: Cross multiply
    141,208.31x = 197,958.94 × 197,958.94
  4. Step 4: Simplify right side
    141,208.31x = 39,187,740,936.13
  5. Step 5: Solve for x
    x = 39,187,740,936.13/141,208.31
  6. Step 6: Final answer
    x = 277,517.24

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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.