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Finding the Third Proportional to 148,837.50 and 222,628.50

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Solution

The third proportional to 148,837.50 and 222,628.50 is: 333,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,837.50 : 222,628.50 = 222,628.50 : x
  2. Step 2: Convert to fraction form
    148,837.50/222,628.50 = 222,628.50/x
  3. Step 3: Cross multiply
    148,837.50x = 222,628.50 × 222,628.50
  4. Step 4: Simplify right side
    148,837.50x = 49,563,449,012.25
  5. Step 5: Solve for x
    x = 49,563,449,012.25/148,837.50
  6. Step 6: Final answer
    x = 333,003.77

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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.