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Finding the Third Proportional to 148,794 and 330,696

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Solution

The third proportional to 148,794 and 330,696 is: 734,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,794 : 330,696 = 330,696 : x
  2. Step 2: Convert to fraction form
    148,794/330,696 = 330,696/x
  3. Step 3: Cross multiply
    148,794x = 330,696 × 330,696
  4. Step 4: Simplify right side
    148,794x = 109,359,844,416
  5. Step 5: Solve for x
    x = 109,359,844,416/148,794
  6. Step 6: Final answer
    x = 734,974.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.