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Finding the Third Proportional to 140,729.25 and 207,371.25

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Solution

The third proportional to 140,729.25 and 207,371.25 is: 305,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,729.25 : 207,371.25 = 207,371.25 : x
  2. Step 2: Convert to fraction form
    140,729.25/207,371.25 = 207,371.25/x
  3. Step 3: Cross multiply
    140,729.25x = 207,371.25 × 207,371.25
  4. Step 4: Simplify right side
    140,729.25x = 43,002,835,326.56
  5. Step 5: Solve for x
    x = 43,002,835,326.56/140,729.25
  6. Step 6: Final answer
    x = 305,571.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.