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Finding the Third Proportional to 149,644.50 and 332,505

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Solution

The third proportional to 149,644.50 and 332,505 is: 738,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,644.50 : 332,505 = 332,505 : x
  2. Step 2: Convert to fraction form
    149,644.50/332,505 = 332,505/x
  3. Step 3: Cross multiply
    149,644.50x = 332,505 × 332,505
  4. Step 4: Simplify right side
    149,644.50x = 110,559,575,025
  5. Step 5: Solve for x
    x = 110,559,575,025/149,644.50
  6. Step 6: Final answer
    x = 738,814.82

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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.