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Finding the Third Proportional to 161,992.69 and 228,021.75

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Solution

The third proportional to 161,992.69 and 228,021.75 is: 320,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,992.69 : 228,021.75 = 228,021.75 : x
  2. Step 2: Convert to fraction form
    161,992.69/228,021.75 = 228,021.75/x
  3. Step 3: Cross multiply
    161,992.69x = 228,021.75 × 228,021.75
  4. Step 4: Simplify right side
    161,992.69x = 51,993,918,473.06
  5. Step 5: Solve for x
    x = 51,993,918,473.06/161,992.69
  6. Step 6: Final answer
    x = 320,964.60

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