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Finding the Third Proportional to 104,032 and 223,851

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Solution

The third proportional to 104,032 and 223,851 is: 481,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,032 : 223,851 = 223,851 : x
  2. Step 2: Convert to fraction form
    104,032/223,851 = 223,851/x
  3. Step 3: Cross multiply
    104,032x = 223,851 × 223,851
  4. Step 4: Simplify right side
    104,032x = 50,109,270,201
  5. Step 5: Solve for x
    x = 50,109,270,201/104,032
  6. Step 6: Final answer
    x = 481,671.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.