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Finding the Third Proportional to 149,654 and 332,523

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Solution

The third proportional to 149,654 and 332,523 is: 738,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,654 : 332,523 = 332,523 : x
  2. Step 2: Convert to fraction form
    149,654/332,523 = 332,523/x
  3. Step 3: Cross multiply
    149,654x = 332,523 × 332,523
  4. Step 4: Simplify right side
    149,654x = 110,571,545,529
  5. Step 5: Solve for x
    x = 110,571,545,529/149,654
  6. Step 6: Final answer
    x = 738,847.91

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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.