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Finding the Third Proportional to 104,970 and 223,956

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Solution

The third proportional to 104,970 and 223,956 is: 477,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,970 : 223,956 = 223,956 : x
  2. Step 2: Convert to fraction form
    104,970/223,956 = 223,956/x
  3. Step 3: Cross multiply
    104,970x = 223,956 × 223,956
  4. Step 4: Simplify right side
    104,970x = 50,156,289,936
  5. Step 5: Solve for x
    x = 50,156,289,936/104,970
  6. Step 6: Final answer
    x = 477,815.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.