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Finding the Third Proportional to 149,870.25 and 218,517.75

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Solution

The third proportional to 149,870.25 and 218,517.75 is: 318,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,870.25 : 218,517.75 = 218,517.75 : x
  2. Step 2: Convert to fraction form
    149,870.25/218,517.75 = 218,517.75/x
  3. Step 3: Cross multiply
    149,870.25x = 218,517.75 × 218,517.75
  4. Step 4: Simplify right side
    149,870.25x = 47,750,007,065.06
  5. Step 5: Solve for x
    x = 47,750,007,065.06/149,870.25
  6. Step 6: Final answer
    x = 318,608.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.