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Finding the Third Proportional to 133,399.50 and 203,487.75

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Solution

The third proportional to 133,399.50 and 203,487.75 is: 310,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,399.50 : 203,487.75 = 203,487.75 : x
  2. Step 2: Convert to fraction form
    133,399.50/203,487.75 = 203,487.75/x
  3. Step 3: Cross multiply
    133,399.50x = 203,487.75 × 203,487.75
  4. Step 4: Simplify right side
    133,399.50x = 41,407,264,400.06
  5. Step 5: Solve for x
    x = 41,407,264,400.06/133,399.50
  6. Step 6: Final answer
    x = 310,400.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.