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Finding the Third Proportional to 150,362 and 223,923

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Solution

The third proportional to 150,362 and 223,923 is: 333,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,362 : 223,923 = 223,923 : x
  2. Step 2: Convert to fraction form
    150,362/223,923 = 223,923/x
  3. Step 3: Cross multiply
    150,362x = 223,923 × 223,923
  4. Step 4: Simplify right side
    150,362x = 50,141,509,929
  5. Step 5: Solve for x
    x = 50,141,509,929/150,362
  6. Step 6: Final answer
    x = 333,471.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.