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Finding the Third Proportional to 116,794 and 241,884

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Solution

The third proportional to 116,794 and 241,884 is: 500,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,794 : 241,884 = 241,884 : x
  2. Step 2: Convert to fraction form
    116,794/241,884 = 241,884/x
  3. Step 3: Cross multiply
    116,794x = 241,884 × 241,884
  4. Step 4: Simplify right side
    116,794x = 58,507,869,456
  5. Step 5: Solve for x
    x = 58,507,869,456/116,794
  6. Step 6: Final answer
    x = 500,949.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.