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Finding the Third Proportional to 165,243 and 222,951.38

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Solution

The third proportional to 165,243 and 222,951.38 is: 300,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,243 : 222,951.38 = 222,951.38 : x
  2. Step 2: Convert to fraction form
    165,243/222,951.38 = 222,951.38/x
  3. Step 3: Cross multiply
    165,243x = 222,951.38 × 222,951.38
  4. Step 4: Simplify right side
    165,243x = 49,707,315,614.39
  5. Step 5: Solve for x
    x = 49,707,315,614.39/165,243
  6. Step 6: Final answer
    x = 300,813.44

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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.