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Finding the Third Proportional to 133,040 and 199,083

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Solution

The third proportional to 133,040 and 199,083 is: 297,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,040 : 199,083 = 199,083 : x
  2. Step 2: Convert to fraction form
    133,040/199,083 = 199,083/x
  3. Step 3: Cross multiply
    133,040x = 199,083 × 199,083
  4. Step 4: Simplify right side
    133,040x = 39,634,040,889
  5. Step 5: Solve for x
    x = 39,634,040,889/133,040
  6. Step 6: Final answer
    x = 297,910.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.