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Finding the Third Proportional to 161,844 and 330,114

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Solution

The third proportional to 161,844 and 330,114 is: 673,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,844 : 330,114 = 330,114 : x
  2. Step 2: Convert to fraction form
    161,844/330,114 = 330,114/x
  3. Step 3: Cross multiply
    161,844x = 330,114 × 330,114
  4. Step 4: Simplify right side
    161,844x = 108,975,252,996
  5. Step 5: Solve for x
    x = 108,975,252,996/161,844
  6. Step 6: Final answer
    x = 673,335.14

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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.