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Finding the Third Proportional to 149,310 and 327,744

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Solution

The third proportional to 149,310 and 327,744 is: 719,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,310 : 327,744 = 327,744 : x
  2. Step 2: Convert to fraction form
    149,310/327,744 = 327,744/x
  3. Step 3: Cross multiply
    149,310x = 327,744 × 327,744
  4. Step 4: Simplify right side
    149,310x = 107,416,129,536
  5. Step 5: Solve for x
    x = 107,416,129,536/149,310
  6. Step 6: Final answer
    x = 719,416.85

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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.