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Finding the Third Proportional to 155,328 and 225,456

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Solution

The third proportional to 155,328 and 225,456 is: 327,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,328 : 225,456 = 225,456 : x
  2. Step 2: Convert to fraction form
    155,328/225,456 = 225,456/x
  3. Step 3: Cross multiply
    155,328x = 225,456 × 225,456
  4. Step 4: Simplify right side
    155,328x = 50,830,407,936
  5. Step 5: Solve for x
    x = 50,830,407,936/155,328
  6. Step 6: Final answer
    x = 327,245.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.