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Finding the Third Proportional to 149,850.75 and 313,551.75

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Solution

The third proportional to 149,850.75 and 313,551.75 is: 656,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,850.75 : 313,551.75 = 313,551.75 : x
  2. Step 2: Convert to fraction form
    149,850.75/313,551.75 = 313,551.75/x
  3. Step 3: Cross multiply
    149,850.75x = 313,551.75 × 313,551.75
  4. Step 4: Simplify right side
    149,850.75x = 98,314,699,928.06
  5. Step 5: Solve for x
    x = 98,314,699,928.06/149,850.75
  6. Step 6: Final answer
    x = 656,084.14

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.