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Finding the Third Proportional to 126,786.25 and 197,449.38

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Solution

The third proportional to 126,786.25 and 197,449.38 is: 307,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,786.25 : 197,449.38 = 197,449.38 : x
  2. Step 2: Convert to fraction form
    126,786.25/197,449.38 = 197,449.38/x
  3. Step 3: Cross multiply
    126,786.25x = 197,449.38 × 197,449.38
  4. Step 4: Simplify right side
    126,786.25x = 38,986,255,687.89
  5. Step 5: Solve for x
    x = 38,986,255,687.89/126,786.25
  6. Step 6: Final answer
    x = 307,495.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.