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Finding the Third Proportional to 133,191 and 292,626

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Solution

The third proportional to 133,191 and 292,626 is: 642,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,191 : 292,626 = 292,626 : x
  2. Step 2: Convert to fraction form
    133,191/292,626 = 292,626/x
  3. Step 3: Cross multiply
    133,191x = 292,626 × 292,626
  4. Step 4: Simplify right side
    133,191x = 85,629,975,876
  5. Step 5: Solve for x
    x = 85,629,975,876/133,191
  6. Step 6: Final answer
    x = 642,911.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.