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Finding the Third Proportional to 150,601 and 313,678

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Solution

The third proportional to 150,601 and 313,678 is: 653,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,601 : 313,678 = 313,678 : x
  2. Step 2: Convert to fraction form
    150,601/313,678 = 313,678/x
  3. Step 3: Cross multiply
    150,601x = 313,678 × 313,678
  4. Step 4: Simplify right side
    150,601x = 98,393,887,684
  5. Step 5: Solve for x
    x = 98,393,887,684/150,601
  6. Step 6: Final answer
    x = 653,341.53

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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.