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Finding the Third Proportional to 111,954 and 246,020

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Solution

The third proportional to 111,954 and 246,020 is: 540,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,954 : 246,020 = 246,020 : x
  2. Step 2: Convert to fraction form
    111,954/246,020 = 246,020/x
  3. Step 3: Cross multiply
    111,954x = 246,020 × 246,020
  4. Step 4: Simplify right side
    111,954x = 60,525,840,400
  5. Step 5: Solve for x
    x = 60,525,840,400/111,954
  6. Step 6: Final answer
    x = 540,631.33

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Why These Related Problems?

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