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Finding the Third Proportional to 116,664 and 241,104

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Solution

The third proportional to 116,664 and 241,104 is: 498,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,664 : 241,104 = 241,104 : x
  2. Step 2: Convert to fraction form
    116,664/241,104 = 241,104/x
  3. Step 3: Cross multiply
    116,664x = 241,104 × 241,104
  4. Step 4: Simplify right side
    116,664x = 58,131,138,816
  5. Step 5: Solve for x
    x = 58,131,138,816/116,664
  6. Step 6: Final answer
    x = 498,278.29

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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.