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Finding the Third Proportional to 149,300.25 and 324,843.25

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Solution

The third proportional to 149,300.25 and 324,843.25 is: 706,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,300.25 : 324,843.25 = 324,843.25 : x
  2. Step 2: Convert to fraction form
    149,300.25/324,843.25 = 324,843.25/x
  3. Step 3: Cross multiply
    149,300.25x = 324,843.25 × 324,843.25
  4. Step 4: Simplify right side
    149,300.25x = 105,523,137,070.56
  5. Step 5: Solve for x
    x = 105,523,137,070.56/149,300.25
  6. Step 6: Final answer
    x = 706,784.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.