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Finding the Third Proportional to 148,033.50 and 213,667

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Solution

The third proportional to 148,033.50 and 213,667 is: 308,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,033.50 : 213,667 = 213,667 : x
  2. Step 2: Convert to fraction form
    148,033.50/213,667 = 213,667/x
  3. Step 3: Cross multiply
    148,033.50x = 213,667 × 213,667
  4. Step 4: Simplify right side
    148,033.50x = 45,653,586,889
  5. Step 5: Solve for x
    x = 45,653,586,889/148,033.50
  6. Step 6: Final answer
    x = 308,400.37

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.