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Finding the Third Proportional to 161,837 and 330,097

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Solution

The third proportional to 161,837 and 330,097 is: 673,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,837 : 330,097 = 330,097 : x
  2. Step 2: Convert to fraction form
    161,837/330,097 = 330,097/x
  3. Step 3: Cross multiply
    161,837x = 330,097 × 330,097
  4. Step 4: Simplify right side
    161,837x = 108,964,029,409
  5. Step 5: Solve for x
    x = 108,964,029,409/161,837
  6. Step 6: Final answer
    x = 673,294.92

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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.