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Finding the Third Proportional to 104,635 and 223,634

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Solution

The third proportional to 104,635 and 223,634 is: 477,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,635 : 223,634 = 223,634 : x
  2. Step 2: Convert to fraction form
    104,635/223,634 = 223,634/x
  3. Step 3: Cross multiply
    104,635x = 223,634 × 223,634
  4. Step 4: Simplify right side
    104,635x = 50,012,165,956
  5. Step 5: Solve for x
    x = 50,012,165,956/104,635
  6. Step 6: Final answer
    x = 477,967.85

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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.