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Finding the Third Proportional to 168,954 and 359,424

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Solution

The third proportional to 168,954 and 359,424 is: 764,620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,954 : 359,424 = 359,424 : x
  2. Step 2: Convert to fraction form
    168,954/359,424 = 359,424/x
  3. Step 3: Cross multiply
    168,954x = 359,424 × 359,424
  4. Step 4: Simplify right side
    168,954x = 129,185,611,776
  5. Step 5: Solve for x
    x = 129,185,611,776/168,954
  6. Step 6: Final answer
    x = 764,620.03

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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.