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Finding the Third Proportional to 150,398 and 223,977

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Solution

The third proportional to 150,398 and 223,977 is: 333,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,398 : 223,977 = 223,977 : x
  2. Step 2: Convert to fraction form
    150,398/223,977 = 223,977/x
  3. Step 3: Cross multiply
    150,398x = 223,977 × 223,977
  4. Step 4: Simplify right side
    150,398x = 50,165,696,529
  5. Step 5: Solve for x
    x = 50,165,696,529/150,398
  6. Step 6: Final answer
    x = 333,552.95

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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.