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Finding the Third Proportional to 150,594.75 and 220,227.75

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Solution

The third proportional to 150,594.75 and 220,227.75 is: 322,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,594.75 : 220,227.75 = 220,227.75 : x
  2. Step 2: Convert to fraction form
    150,594.75/220,227.75 = 220,227.75/x
  3. Step 3: Cross multiply
    150,594.75x = 220,227.75 × 220,227.75
  4. Step 4: Simplify right side
    150,594.75x = 48,500,261,870.06
  5. Step 5: Solve for x
    x = 48,500,261,870.06/150,594.75
  6. Step 6: Final answer
    x = 322,058.12

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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.