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Finding the Third Proportional to 208,668 and 279,546

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Solution

The third proportional to 208,668 and 279,546 is: 374,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,668 : 279,546 = 279,546 : x
  2. Step 2: Convert to fraction form
    208,668/279,546 = 279,546/x
  3. Step 3: Cross multiply
    208,668x = 279,546 × 279,546
  4. Step 4: Simplify right side
    208,668x = 78,145,966,116
  5. Step 5: Solve for x
    x = 78,145,966,116/208,668
  6. Step 6: Final answer
    x = 374,499.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.