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Finding the Third Proportional to 148,635 and 222,999

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Solution

The third proportional to 148,635 and 222,999 is: 334,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,635 : 222,999 = 222,999 : x
  2. Step 2: Convert to fraction form
    148,635/222,999 = 222,999/x
  3. Step 3: Cross multiply
    148,635x = 222,999 × 222,999
  4. Step 4: Simplify right side
    148,635x = 49,728,554,001
  5. Step 5: Solve for x
    x = 49,728,554,001/148,635
  6. Step 6: Final answer
    x = 334,568.26

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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.