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Finding the Third Proportional to 133,969 and 267,939

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Solution

The third proportional to 133,969 and 267,939 is: 535,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,969 : 267,939 = 267,939 : x
  2. Step 2: Convert to fraction form
    133,969/267,939 = 267,939/x
  3. Step 3: Cross multiply
    133,969x = 267,939 × 267,939
  4. Step 4: Simplify right side
    133,969x = 71,791,307,721
  5. Step 5: Solve for x
    x = 71,791,307,721/133,969
  6. Step 6: Final answer
    x = 535,880.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.