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Finding the Third Proportional to 165,250 and 222,961

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Solution

The third proportional to 165,250 and 222,961 is: 300,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,250 : 222,961 = 222,961 : x
  2. Step 2: Convert to fraction form
    165,250/222,961 = 222,961/x
  3. Step 3: Cross multiply
    165,250x = 222,961 × 222,961
  4. Step 4: Simplify right side
    165,250x = 49,711,607,521
  5. Step 5: Solve for x
    x = 49,711,607,521/165,250
  6. Step 6: Final answer
    x = 300,826.67

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.