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Finding the Third Proportional to 163,936 and 338,096

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Solution

The third proportional to 163,936 and 338,096 is: 697,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,936 : 338,096 = 338,096 : x
  2. Step 2: Convert to fraction form
    163,936/338,096 = 338,096/x
  3. Step 3: Cross multiply
    163,936x = 338,096 × 338,096
  4. Step 4: Simplify right side
    163,936x = 114,308,905,216
  5. Step 5: Solve for x
    x = 114,308,905,216/163,936
  6. Step 6: Final answer
    x = 697,277.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.