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Finding the Third Proportional to 161,832 and 330,090

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Solution

The third proportional to 161,832 and 330,090 is: 673,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,832 : 330,090 = 330,090 : x
  2. Step 2: Convert to fraction form
    161,832/330,090 = 330,090/x
  3. Step 3: Cross multiply
    161,832x = 330,090 × 330,090
  4. Step 4: Simplify right side
    161,832x = 108,959,408,100
  5. Step 5: Solve for x
    x = 108,959,408,100/161,832
  6. Step 6: Final answer
    x = 673,287.16

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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.