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Finding the Third Proportional to 143,640 and 308,900.25

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Solution

The third proportional to 143,640 and 308,900.25 is: 664,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,640 : 308,900.25 = 308,900.25 : x
  2. Step 2: Convert to fraction form
    143,640/308,900.25 = 308,900.25/x
  3. Step 3: Cross multiply
    143,640x = 308,900.25 × 308,900.25
  4. Step 4: Simplify right side
    143,640x = 95,419,364,450.06
  5. Step 5: Solve for x
    x = 95,419,364,450.06/143,640
  6. Step 6: Final answer
    x = 664,295.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.