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Finding the Third Proportional to 134,868 and 194,268

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Solution

The third proportional to 134,868 and 194,268 is: 279,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,868 : 194,268 = 194,268 : x
  2. Step 2: Convert to fraction form
    134,868/194,268 = 194,268/x
  3. Step 3: Cross multiply
    134,868x = 194,268 × 194,268
  4. Step 4: Simplify right side
    134,868x = 37,740,055,824
  5. Step 5: Solve for x
    x = 37,740,055,824/134,868
  6. Step 6: Final answer
    x = 279,829.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.