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Finding the Third Proportional to 149,824 and 321,883

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Solution

The third proportional to 149,824 and 321,883 is: 691,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,824 : 321,883 = 321,883 : x
  2. Step 2: Convert to fraction form
    149,824/321,883 = 321,883/x
  3. Step 3: Cross multiply
    149,824x = 321,883 × 321,883
  4. Step 4: Simplify right side
    149,824x = 103,608,665,689
  5. Step 5: Solve for x
    x = 103,608,665,689/149,824
  6. Step 6: Final answer
    x = 691,535.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.