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Finding the Third Proportional to 111,024 and 244,192

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Solution

The third proportional to 111,024 and 244,192 is: 537,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,024 : 244,192 = 244,192 : x
  2. Step 2: Convert to fraction form
    111,024/244,192 = 244,192/x
  3. Step 3: Cross multiply
    111,024x = 244,192 × 244,192
  4. Step 4: Simplify right side
    111,024x = 59,629,732,864
  5. Step 5: Solve for x
    x = 59,629,732,864/111,024
  6. Step 6: Final answer
    x = 537,088.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.