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Finding the Third Proportional to 193,284.50 and 416,063

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Solution

The third proportional to 193,284.50 and 416,063 is: 895,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,284.50 : 416,063 = 416,063 : x
  2. Step 2: Convert to fraction form
    193,284.50/416,063 = 416,063/x
  3. Step 3: Cross multiply
    193,284.50x = 416,063 × 416,063
  4. Step 4: Simplify right side
    193,284.50x = 173,108,419,969
  5. Step 5: Solve for x
    x = 173,108,419,969/193,284.50
  6. Step 6: Final answer
    x = 895,614.60

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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.