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Finding the Third Proportional to 144,441 and 322,075

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Solution

The third proportional to 144,441 and 322,075 is: 718,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,441 : 322,075 = 322,075 : x
  2. Step 2: Convert to fraction form
    144,441/322,075 = 322,075/x
  3. Step 3: Cross multiply
    144,441x = 322,075 × 322,075
  4. Step 4: Simplify right side
    144,441x = 103,732,305,625
  5. Step 5: Solve for x
    x = 103,732,305,625/144,441
  6. Step 6: Final answer
    x = 718,163.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.