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Finding the Third Proportional to 116,696 and 237,670

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Solution

The third proportional to 116,696 and 237,670 is: 484,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,696 : 237,670 = 237,670 : x
  2. Step 2: Convert to fraction form
    116,696/237,670 = 237,670/x
  3. Step 3: Cross multiply
    116,696x = 237,670 × 237,670
  4. Step 4: Simplify right side
    116,696x = 56,487,028,900
  5. Step 5: Solve for x
    x = 56,487,028,900/116,696
  6. Step 6: Final answer
    x = 484,052.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.