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Finding the Third Proportional to 150,054 and 329,916

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Solution

The third proportional to 150,054 and 329,916 is: 725,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,054 : 329,916 = 329,916 : x
  2. Step 2: Convert to fraction form
    150,054/329,916 = 329,916/x
  3. Step 3: Cross multiply
    150,054x = 329,916 × 329,916
  4. Step 4: Simplify right side
    150,054x = 108,844,567,056
  5. Step 5: Solve for x
    x = 108,844,567,056/150,054
  6. Step 6: Final answer
    x = 725,369.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.