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Finding the Third Proportional to 268,164.75 and 397,608.75

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Solution

The third proportional to 268,164.75 and 397,608.75 is: 589,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,164.75 : 397,608.75 = 397,608.75 : x
  2. Step 2: Convert to fraction form
    268,164.75/397,608.75 = 397,608.75/x
  3. Step 3: Cross multiply
    268,164.75x = 397,608.75 × 397,608.75
  4. Step 4: Simplify right side
    268,164.75x = 158,092,718,076.56
  5. Step 5: Solve for x
    x = 158,092,718,076.56/268,164.75
  6. Step 6: Final answer
    x = 589,535.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.