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Finding the Third Proportional to 149,805.70 and 322,447.71

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Solution

The third proportional to 149,805.70 and 322,447.71 is: 694,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,805.70 : 322,447.71 = 322,447.71 : x
  2. Step 2: Convert to fraction form
    149,805.70/322,447.71 = 322,447.71/x
  3. Step 3: Cross multiply
    149,805.70x = 322,447.71 × 322,447.71
  4. Step 4: Simplify right side
    149,805.70x = 103,972,526,288.83
  5. Step 5: Solve for x
    x = 103,972,526,288.83/149,805.70
  6. Step 6: Final answer
    x = 694,049.19

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