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Finding the Third Proportional to 211,941 and 297,034.50

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Solution

The third proportional to 211,941 and 297,034.50 is: 416,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,941 : 297,034.50 = 297,034.50 : x
  2. Step 2: Convert to fraction form
    211,941/297,034.50 = 297,034.50/x
  3. Step 3: Cross multiply
    211,941x = 297,034.50 × 297,034.50
  4. Step 4: Simplify right side
    211,941x = 88,229,494,190.25
  5. Step 5: Solve for x
    x = 88,229,494,190.25/211,941
  6. Step 6: Final answer
    x = 416,292.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.