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Finding the Third Proportional to 199,326 and 332,208

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Solution

The third proportional to 199,326 and 332,208 is: 553,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,326 : 332,208 = 332,208 : x
  2. Step 2: Convert to fraction form
    199,326/332,208 = 332,208/x
  3. Step 3: Cross multiply
    199,326x = 332,208 × 332,208
  4. Step 4: Simplify right side
    199,326x = 110,362,155,264
  5. Step 5: Solve for x
    x = 110,362,155,264/199,326
  6. Step 6: Final answer
    x = 553,676.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.