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Finding the Third Proportional to 102,946.75 and 222,296

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Solution

The third proportional to 102,946.75 and 222,296 is: 480,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,946.75 : 222,296 = 222,296 : x
  2. Step 2: Convert to fraction form
    102,946.75/222,296 = 222,296/x
  3. Step 3: Cross multiply
    102,946.75x = 222,296 × 222,296
  4. Step 4: Simplify right side
    102,946.75x = 49,415,511,616
  5. Step 5: Solve for x
    x = 49,415,511,616/102,946.75
  6. Step 6: Final answer
    x = 480,010.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.