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Finding the Third Proportional to 150,947.50 and 222,046.50

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Solution

The third proportional to 150,947.50 and 222,046.50 is: 326,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,947.50 : 222,046.50 = 222,046.50 : x
  2. Step 2: Convert to fraction form
    150,947.50/222,046.50 = 222,046.50/x
  3. Step 3: Cross multiply
    150,947.50x = 222,046.50 × 222,046.50
  4. Step 4: Simplify right side
    150,947.50x = 49,304,648,162.25
  5. Step 5: Solve for x
    x = 49,304,648,162.25/150,947.50
  6. Step 6: Final answer
    x = 326,634.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.