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Finding the Third Proportional to 161,992 and 228,019

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Solution

The third proportional to 161,992 and 228,019 is: 320,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,992 : 228,019 = 228,019 : x
  2. Step 2: Convert to fraction form
    161,992/228,019 = 228,019/x
  3. Step 3: Cross multiply
    161,992x = 228,019 × 228,019
  4. Step 4: Simplify right side
    161,992x = 51,992,664,361
  5. Step 5: Solve for x
    x = 51,992,664,361/161,992
  6. Step 6: Final answer
    x = 320,958.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.