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Finding the Third Proportional to 150,995 and 329,125

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Solution

The third proportional to 150,995 and 329,125 is: 717,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,995 : 329,125 = 329,125 : x
  2. Step 2: Convert to fraction form
    150,995/329,125 = 329,125/x
  3. Step 3: Cross multiply
    150,995x = 329,125 × 329,125
  4. Step 4: Simplify right side
    150,995x = 108,323,265,625
  5. Step 5: Solve for x
    x = 108,323,265,625/150,995
  6. Step 6: Final answer
    x = 717,396.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.