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Finding the Third Proportional to 150,407 and 334,435

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Solution

The third proportional to 150,407 and 334,435 is: 743,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,407 : 334,435 = 334,435 : x
  2. Step 2: Convert to fraction form
    150,407/334,435 = 334,435/x
  3. Step 3: Cross multiply
    150,407x = 334,435 × 334,435
  4. Step 4: Simplify right side
    150,407x = 111,846,769,225
  5. Step 5: Solve for x
    x = 111,846,769,225/150,407
  6. Step 6: Final answer
    x = 743,627.42

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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.