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Finding the Third Proportional to 220,194 and 422,889.75

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Solution

The third proportional to 220,194 and 422,889.75 is: 812,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,194 : 422,889.75 = 422,889.75 : x
  2. Step 2: Convert to fraction form
    220,194/422,889.75 = 422,889.75/x
  3. Step 3: Cross multiply
    220,194x = 422,889.75 × 422,889.75
  4. Step 4: Simplify right side
    220,194x = 178,835,740,655.06
  5. Step 5: Solve for x
    x = 178,835,740,655.06/220,194
  6. Step 6: Final answer
    x = 812,173.54

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.