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Finding the Third Proportional to 150,415 and 334,450

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Solution

The third proportional to 150,415 and 334,450 is: 743,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,415 : 334,450 = 334,450 : x
  2. Step 2: Convert to fraction form
    150,415/334,450 = 334,450/x
  3. Step 3: Cross multiply
    150,415x = 334,450 × 334,450
  4. Step 4: Simplify right side
    150,415x = 111,856,802,500
  5. Step 5: Solve for x
    x = 111,856,802,500/150,415
  6. Step 6: Final answer
    x = 743,654.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.