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Finding the Third Proportional to 149,673 and 332,562

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Solution

The third proportional to 149,673 and 332,562 is: 738,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,673 : 332,562 = 332,562 : x
  2. Step 2: Convert to fraction form
    149,673/332,562 = 332,562/x
  3. Step 3: Cross multiply
    149,673x = 332,562 × 332,562
  4. Step 4: Simplify right side
    149,673x = 110,597,483,844
  5. Step 5: Solve for x
    x = 110,597,483,844/149,673
  6. Step 6: Final answer
    x = 738,927.42

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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.