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Finding the Third Proportional to 150,354 and 327,175

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Solution

The third proportional to 150,354 and 327,175 is: 711,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,354 : 327,175 = 327,175 : x
  2. Step 2: Convert to fraction form
    150,354/327,175 = 327,175/x
  3. Step 3: Cross multiply
    150,354x = 327,175 × 327,175
  4. Step 4: Simplify right side
    150,354x = 107,043,480,625
  5. Step 5: Solve for x
    x = 107,043,480,625/150,354
  6. Step 6: Final answer
    x = 711,943.02

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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.