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Finding the Third Proportional to 133,390.50 and 314,874

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Solution

The third proportional to 133,390.50 and 314,874 is: 743,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,390.50 : 314,874 = 314,874 : x
  2. Step 2: Convert to fraction form
    133,390.50/314,874 = 314,874/x
  3. Step 3: Cross multiply
    133,390.50x = 314,874 × 314,874
  4. Step 4: Simplify right side
    133,390.50x = 99,145,635,876
  5. Step 5: Solve for x
    x = 99,145,635,876/133,390.50
  6. Step 6: Final answer
    x = 743,273.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.