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Finding the Third Proportional to 161,839 and 330,104

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Solution

The third proportional to 161,839 and 330,104 is: 673,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,839 : 330,104 = 330,104 : x
  2. Step 2: Convert to fraction form
    161,839/330,104 = 330,104/x
  3. Step 3: Cross multiply
    161,839x = 330,104 × 330,104
  4. Step 4: Simplify right side
    161,839x = 108,968,650,816
  5. Step 5: Solve for x
    x = 108,968,650,816/161,839
  6. Step 6: Final answer
    x = 673,315.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.