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Finding the Third Proportional to 166,296 and 317,268

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Solution

The third proportional to 166,296 and 317,268 is: 605,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,296 : 317,268 = 317,268 : x
  2. Step 2: Convert to fraction form
    166,296/317,268 = 317,268/x
  3. Step 3: Cross multiply
    166,296x = 317,268 × 317,268
  4. Step 4: Simplify right side
    166,296x = 100,658,983,824
  5. Step 5: Solve for x
    x = 100,658,983,824/166,296
  6. Step 6: Final answer
    x = 605,300.09

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.