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Finding the Third Proportional to 148,837.50 and 223,591.50

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Solution

The third proportional to 148,837.50 and 223,591.50 is: 335,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,837.50 : 223,591.50 = 223,591.50 : x
  2. Step 2: Convert to fraction form
    148,837.50/223,591.50 = 223,591.50/x
  3. Step 3: Cross multiply
    148,837.50x = 223,591.50 × 223,591.50
  4. Step 4: Simplify right side
    148,837.50x = 49,993,158,872.25
  5. Step 5: Solve for x
    x = 49,993,158,872.25/148,837.50
  6. Step 6: Final answer
    x = 335,890.88

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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.