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Finding the Third Proportional to 150,396 and 223,974

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Solution

The third proportional to 150,396 and 223,974 is: 333,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,396 : 223,974 = 223,974 : x
  2. Step 2: Convert to fraction form
    150,396/223,974 = 223,974/x
  3. Step 3: Cross multiply
    150,396x = 223,974 × 223,974
  4. Step 4: Simplify right side
    150,396x = 50,164,352,676
  5. Step 5: Solve for x
    x = 50,164,352,676/150,396
  6. Step 6: Final answer
    x = 333,548.45

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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.