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Finding the Third Proportional to 148,488 and 330,105

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Solution

The third proportional to 148,488 and 330,105 is: 733,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,488 : 330,105 = 330,105 : x
  2. Step 2: Convert to fraction form
    148,488/330,105 = 330,105/x
  3. Step 3: Cross multiply
    148,488x = 330,105 × 330,105
  4. Step 4: Simplify right side
    148,488x = 108,969,311,025
  5. Step 5: Solve for x
    x = 108,969,311,025/148,488
  6. Step 6: Final answer
    x = 733,859.38

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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.