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Finding the Third Proportional to 149,843.67 and 321,010.59

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Solution

The third proportional to 149,843.67 and 321,010.59 is: 687,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,843.67 : 321,010.59 = 321,010.59 : x
  2. Step 2: Convert to fraction form
    149,843.67/321,010.59 = 321,010.59/x
  3. Step 3: Cross multiply
    149,843.67x = 321,010.59 × 321,010.59
  4. Step 4: Simplify right side
    149,843.67x = 103,047,801,299.73
  5. Step 5: Solve for x
    x = 103,047,801,299.73/149,843.67
  6. Step 6: Final answer
    x = 687,702.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.