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Finding the Third Proportional to 183,161 and 380,353

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Solution

The third proportional to 183,161 and 380,353 is: 789,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,161 : 380,353 = 380,353 : x
  2. Step 2: Convert to fraction form
    183,161/380,353 = 380,353/x
  3. Step 3: Cross multiply
    183,161x = 380,353 × 380,353
  4. Step 4: Simplify right side
    183,161x = 144,668,404,609
  5. Step 5: Solve for x
    x = 144,668,404,609/183,161
  6. Step 6: Final answer
    x = 789,842.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.