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Finding the Third Proportional to 116,668 and 241,112

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Solution

The third proportional to 116,668 and 241,112 is: 498,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,668 : 241,112 = 241,112 : x
  2. Step 2: Convert to fraction form
    116,668/241,112 = 241,112/x
  3. Step 3: Cross multiply
    116,668x = 241,112 × 241,112
  4. Step 4: Simplify right side
    116,668x = 58,134,996,544
  5. Step 5: Solve for x
    x = 58,134,996,544/116,668
  6. Step 6: Final answer
    x = 498,294.28

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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.