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Finding the Third Proportional to 150,741 and 313,884

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Solution

The third proportional to 150,741 and 313,884 is: 653,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,741 : 313,884 = 313,884 : x
  2. Step 2: Convert to fraction form
    150,741/313,884 = 313,884/x
  3. Step 3: Cross multiply
    150,741x = 313,884 × 313,884
  4. Step 4: Simplify right side
    150,741x = 98,523,165,456
  5. Step 5: Solve for x
    x = 98,523,165,456/150,741
  6. Step 6: Final answer
    x = 653,592.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.