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Finding the Third Proportional to 149,721.75 and 323,431.88

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Solution

The third proportional to 149,721.75 and 323,431.88 is: 698,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,721.75 : 323,431.88 = 323,431.88 : x
  2. Step 2: Convert to fraction form
    149,721.75/323,431.88 = 323,431.88/x
  3. Step 3: Cross multiply
    149,721.75x = 323,431.88 × 323,431.88
  4. Step 4: Simplify right side
    149,721.75x = 104,608,177,766.02
  5. Step 5: Solve for x
    x = 104,608,177,766.02/149,721.75
  6. Step 6: Final answer
    x = 698,683.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.