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Finding the Third Proportional to 148,494 and 330,108

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Solution

The third proportional to 148,494 and 330,108 is: 733,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,494 : 330,108 = 330,108 : x
  2. Step 2: Convert to fraction form
    148,494/330,108 = 330,108/x
  3. Step 3: Cross multiply
    148,494x = 330,108 × 330,108
  4. Step 4: Simplify right side
    148,494x = 108,971,291,664
  5. Step 5: Solve for x
    x = 108,971,291,664/148,494
  6. Step 6: Final answer
    x = 733,843.06

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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.