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Finding the Third Proportional to 133,971 and 267,940.50

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Solution

The third proportional to 133,971 and 267,940.50 is: 535,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,971 : 267,940.50 = 267,940.50 : x
  2. Step 2: Convert to fraction form
    133,971/267,940.50 = 267,940.50/x
  3. Step 3: Cross multiply
    133,971x = 267,940.50 × 267,940.50
  4. Step 4: Simplify right side
    133,971x = 71,792,111,540.25
  5. Step 5: Solve for x
    x = 71,792,111,540.25/133,971
  6. Step 6: Final answer
    x = 535,878.00

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