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Finding the Third Proportional to 146,571.75 and 321,198.75

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Solution

The third proportional to 146,571.75 and 321,198.75 is: 703,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,571.75 : 321,198.75 = 321,198.75 : x
  2. Step 2: Convert to fraction form
    146,571.75/321,198.75 = 321,198.75/x
  3. Step 3: Cross multiply
    146,571.75x = 321,198.75 × 321,198.75
  4. Step 4: Simplify right side
    146,571.75x = 103,168,637,001.56
  5. Step 5: Solve for x
    x = 103,168,637,001.56/146,571.75
  6. Step 6: Final answer
    x = 703,878.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.