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Finding the Third Proportional to 143,328 and 214,957

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Solution

The third proportional to 143,328 and 214,957 is: 322,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,328 : 214,957 = 214,957 : x
  2. Step 2: Convert to fraction form
    143,328/214,957 = 214,957/x
  3. Step 3: Cross multiply
    143,328x = 214,957 × 214,957
  4. Step 4: Simplify right side
    143,328x = 46,206,511,849
  5. Step 5: Solve for x
    x = 46,206,511,849/143,328
  6. Step 6: Final answer
    x = 322,383.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.