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Finding the Third Proportional to 222,766.45 and 302,671.69

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Solution

The third proportional to 222,766.45 and 302,671.69 is: 411,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,766.45 : 302,671.69 = 302,671.69 : x
  2. Step 2: Convert to fraction form
    222,766.45/302,671.69 = 302,671.69/x
  3. Step 3: Cross multiply
    222,766.45x = 302,671.69 × 302,671.69
  4. Step 4: Simplify right side
    222,766.45x = 91,610,150,414.10
  5. Step 5: Solve for x
    x = 91,610,150,414.10/222,766.45
  6. Step 6: Final answer
    x = 411,238.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.