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Finding the Third Proportional to 150,842.25 and 220,016.25

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Solution

The third proportional to 150,842.25 and 220,016.25 is: 320,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,842.25 : 220,016.25 = 220,016.25 : x
  2. Step 2: Convert to fraction form
    150,842.25/220,016.25 = 220,016.25/x
  3. Step 3: Cross multiply
    150,842.25x = 220,016.25 × 220,016.25
  4. Step 4: Simplify right side
    150,842.25x = 48,407,150,264.06
  5. Step 5: Solve for x
    x = 48,407,150,264.06/150,842.25
  6. Step 6: Final answer
    x = 320,912.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.