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Finding the Third Proportional to 208,008 and 322,676

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Solution

The third proportional to 208,008 and 322,676 is: 500,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,008 : 322,676 = 322,676 : x
  2. Step 2: Convert to fraction form
    208,008/322,676 = 322,676/x
  3. Step 3: Cross multiply
    208,008x = 322,676 × 322,676
  4. Step 4: Simplify right side
    208,008x = 104,119,800,976
  5. Step 5: Solve for x
    x = 104,119,800,976/208,008
  6. Step 6: Final answer
    x = 500,556.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.