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Finding the Third Proportional to 111,284 and 244,816

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Solution

The third proportional to 111,284 and 244,816 is: 538,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,284 : 244,816 = 244,816 : x
  2. Step 2: Convert to fraction form
    111,284/244,816 = 244,816/x
  3. Step 3: Cross multiply
    111,284x = 244,816 × 244,816
  4. Step 4: Simplify right side
    111,284x = 59,934,873,856
  5. Step 5: Solve for x
    x = 59,934,873,856/111,284
  6. Step 6: Final answer
    x = 538,575.84

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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.