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Finding the Third Proportional to 155,158 and 225,993

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Solution

The third proportional to 155,158 and 225,993 is: 329,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,158 : 225,993 = 225,993 : x
  2. Step 2: Convert to fraction form
    155,158/225,993 = 225,993/x
  3. Step 3: Cross multiply
    155,158x = 225,993 × 225,993
  4. Step 4: Simplify right side
    155,158x = 51,072,836,049
  5. Step 5: Solve for x
    x = 51,072,836,049/155,158
  6. Step 6: Final answer
    x = 329,166.63

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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.