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Finding the Third Proportional to 150,912 and 318,960

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Solution

The third proportional to 150,912 and 318,960 is: 674,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,912 : 318,960 = 318,960 : x
  2. Step 2: Convert to fraction form
    150,912/318,960 = 318,960/x
  3. Step 3: Cross multiply
    150,912x = 318,960 × 318,960
  4. Step 4: Simplify right side
    150,912x = 101,735,481,600
  5. Step 5: Solve for x
    x = 101,735,481,600/150,912
  6. Step 6: Final answer
    x = 674,137.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.