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Finding the Third Proportional to 208,800 and 447,144

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Solution

The third proportional to 208,800 and 447,144 is: 957,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,800 : 447,144 = 447,144 : x
  2. Step 2: Convert to fraction form
    208,800/447,144 = 447,144/x
  3. Step 3: Cross multiply
    208,800x = 447,144 × 447,144
  4. Step 4: Simplify right side
    208,800x = 199,937,756,736
  5. Step 5: Solve for x
    x = 199,937,756,736/208,800
  6. Step 6: Final answer
    x = 957,556.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.