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Finding the Third Proportional to 140,942.25 and 218,142

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Solution

The third proportional to 140,942.25 and 218,142 is: 337,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,942.25 : 218,142 = 218,142 : x
  2. Step 2: Convert to fraction form
    140,942.25/218,142 = 218,142/x
  3. Step 3: Cross multiply
    140,942.25x = 218,142 × 218,142
  4. Step 4: Simplify right side
    140,942.25x = 47,585,932,164
  5. Step 5: Solve for x
    x = 47,585,932,164/140,942.25
  6. Step 6: Final answer
    x = 337,627.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.