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Finding the Third Proportional to 133,574 and 199,945

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Solution

The third proportional to 133,574 and 199,945 is: 299,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,574 : 199,945 = 199,945 : x
  2. Step 2: Convert to fraction form
    133,574/199,945 = 199,945/x
  3. Step 3: Cross multiply
    133,574x = 199,945 × 199,945
  4. Step 4: Simplify right side
    133,574x = 39,978,003,025
  5. Step 5: Solve for x
    x = 39,978,003,025/133,574
  6. Step 6: Final answer
    x = 299,294.80

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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.