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Finding the Third Proportional to 131,512.50 and 197,268.75

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Solution

The third proportional to 131,512.50 and 197,268.75 is: 295,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,512.50 : 197,268.75 = 197,268.75 : x
  2. Step 2: Convert to fraction form
    131,512.50/197,268.75 = 197,268.75/x
  3. Step 3: Cross multiply
    131,512.50x = 197,268.75 × 197,268.75
  4. Step 4: Simplify right side
    131,512.50x = 38,914,959,726.56
  5. Step 5: Solve for x
    x = 38,914,959,726.56/131,512.50
  6. Step 6: Final answer
    x = 295,903.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.