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Finding the Third Proportional to 151,137 and 331,002

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Solution

The third proportional to 151,137 and 331,002 is: 724,920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,137 : 331,002 = 331,002 : x
  2. Step 2: Convert to fraction form
    151,137/331,002 = 331,002/x
  3. Step 3: Cross multiply
    151,137x = 331,002 × 331,002
  4. Step 4: Simplify right side
    151,137x = 109,562,324,004
  5. Step 5: Solve for x
    x = 109,562,324,004/151,137
  6. Step 6: Final answer
    x = 724,920.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.