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Finding the Third Proportional to 150,902 and 211,504

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Solution

The third proportional to 150,902 and 211,504 is: 296,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,902 : 211,504 = 211,504 : x
  2. Step 2: Convert to fraction form
    150,902/211,504 = 211,504/x
  3. Step 3: Cross multiply
    150,902x = 211,504 × 211,504
  4. Step 4: Simplify right side
    150,902x = 44,733,942,016
  5. Step 5: Solve for x
    x = 44,733,942,016/150,902
  6. Step 6: Final answer
    x = 296,443.67

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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.