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Finding the Third Proportional to 133,967.25 and 267,934.50

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Solution

The third proportional to 133,967.25 and 267,934.50 is: 535,869

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,967.25 : 267,934.50 = 267,934.50 : x
  2. Step 2: Convert to fraction form
    133,967.25/267,934.50 = 267,934.50/x
  3. Step 3: Cross multiply
    133,967.25x = 267,934.50 × 267,934.50
  4. Step 4: Simplify right side
    133,967.25x = 71,788,896,290.25
  5. Step 5: Solve for x
    x = 71,788,896,290.25/133,967.25
  6. Step 6: Final answer
    x = 535,869

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These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.