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Finding the Third Proportional to 143,485.75 and 312,806.75

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Solution

The third proportional to 143,485.75 and 312,806.75 is: 681,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,485.75 : 312,806.75 = 312,806.75 : x
  2. Step 2: Convert to fraction form
    143,485.75/312,806.75 = 312,806.75/x
  3. Step 3: Cross multiply
    143,485.75x = 312,806.75 × 312,806.75
  4. Step 4: Simplify right side
    143,485.75x = 97,848,062,845.56
  5. Step 5: Solve for x
    x = 97,848,062,845.56/143,485.75
  6. Step 6: Final answer
    x = 681,935.75

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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.