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Finding the Third Proportional to 143,144 and 314,608

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Solution

The third proportional to 143,144 and 314,608 is: 691,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,144 : 314,608 = 314,608 : x
  2. Step 2: Convert to fraction form
    143,144/314,608 = 314,608/x
  3. Step 3: Cross multiply
    143,144x = 314,608 × 314,608
  4. Step 4: Simplify right side
    143,144x = 98,978,193,664
  5. Step 5: Solve for x
    x = 98,978,193,664/143,144
  6. Step 6: Final answer
    x = 691,458.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.