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Finding the Third Proportional to 150,543.75 and 330,608.25

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Solution

The third proportional to 150,543.75 and 330,608.25 is: 726,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,543.75 : 330,608.25 = 330,608.25 : x
  2. Step 2: Convert to fraction form
    150,543.75/330,608.25 = 330,608.25/x
  3. Step 3: Cross multiply
    150,543.75x = 330,608.25 × 330,608.25
  4. Step 4: Simplify right side
    150,543.75x = 109,301,814,968.06
  5. Step 5: Solve for x
    x = 109,301,814,968.06/150,543.75
  6. Step 6: Final answer
    x = 726,046.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.