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Finding the Third Proportional to 150,651 and 327,516

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Solution

The third proportional to 150,651 and 327,516 is: 712,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,651 : 327,516 = 327,516 : x
  2. Step 2: Convert to fraction form
    150,651/327,516 = 327,516/x
  3. Step 3: Cross multiply
    150,651x = 327,516 × 327,516
  4. Step 4: Simplify right side
    150,651x = 107,266,730,256
  5. Step 5: Solve for x
    x = 107,266,730,256/150,651
  6. Step 6: Final answer
    x = 712,021.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.