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Finding the Third Proportional to 208,800 and 443,520

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Solution

The third proportional to 208,800 and 443,520 is: 942,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,800 : 443,520 = 443,520 : x
  2. Step 2: Convert to fraction form
    208,800/443,520 = 443,520/x
  3. Step 3: Cross multiply
    208,800x = 443,520 × 443,520
  4. Step 4: Simplify right side
    208,800x = 196,709,990,400
  5. Step 5: Solve for x
    x = 196,709,990,400/208,800
  6. Step 6: Final answer
    x = 942,097.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.