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Finding the Third Proportional to 166,326 and 317,334

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Solution

The third proportional to 166,326 and 317,334 is: 605,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,326 : 317,334 = 317,334 : x
  2. Step 2: Convert to fraction form
    166,326/317,334 = 317,334/x
  3. Step 3: Cross multiply
    166,326x = 317,334 × 317,334
  4. Step 4: Simplify right side
    166,326x = 100,700,867,556
  5. Step 5: Solve for x
    x = 100,700,867,556/166,326
  6. Step 6: Final answer
    x = 605,442.73

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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.