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Finding the Third Proportional to 161,824.50 and 330,075

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Solution

The third proportional to 161,824.50 and 330,075 is: 673,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,824.50 : 330,075 = 330,075 : x
  2. Step 2: Convert to fraction form
    161,824.50/330,075 = 330,075/x
  3. Step 3: Cross multiply
    161,824.50x = 330,075 × 330,075
  4. Step 4: Simplify right side
    161,824.50x = 108,949,505,625
  5. Step 5: Solve for x
    x = 108,949,505,625/161,824.50
  6. Step 6: Final answer
    x = 673,257.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.