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Finding the Third Proportional to 193,698 and 417,976

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Solution

The third proportional to 193,698 and 417,976 is: 901,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,698 : 417,976 = 417,976 : x
  2. Step 2: Convert to fraction form
    193,698/417,976 = 417,976/x
  3. Step 3: Cross multiply
    193,698x = 417,976 × 417,976
  4. Step 4: Simplify right side
    193,698x = 174,703,936,576
  5. Step 5: Solve for x
    x = 174,703,936,576/193,698
  6. Step 6: Final answer
    x = 901,939.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.