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Finding the Third Proportional to 90,287.50 and 194,450

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Solution

The third proportional to 90,287.50 and 194,450 is: 418,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,287.50 : 194,450 = 194,450 : x
  2. Step 2: Convert to fraction form
    90,287.50/194,450 = 194,450/x
  3. Step 3: Cross multiply
    90,287.50x = 194,450 × 194,450
  4. Step 4: Simplify right side
    90,287.50x = 37,810,802,500
  5. Step 5: Solve for x
    x = 37,810,802,500/90,287.50
  6. Step 6: Final answer
    x = 418,782.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.