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Finding the Third Proportional to 110,819 and 244,966

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Solution

The third proportional to 110,819 and 244,966 is: 541,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,819 : 244,966 = 244,966 : x
  2. Step 2: Convert to fraction form
    110,819/244,966 = 244,966/x
  3. Step 3: Cross multiply
    110,819x = 244,966 × 244,966
  4. Step 4: Simplify right side
    110,819x = 60,008,341,156
  5. Step 5: Solve for x
    x = 60,008,341,156/110,819
  6. Step 6: Final answer
    x = 541,498.67

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.