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Finding the Third Proportional to 162,015.75 and 222,493.50

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Solution

The third proportional to 162,015.75 and 222,493.50 is: 305,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,015.75 : 222,493.50 = 222,493.50 : x
  2. Step 2: Convert to fraction form
    162,015.75/222,493.50 = 222,493.50/x
  3. Step 3: Cross multiply
    162,015.75x = 222,493.50 × 222,493.50
  4. Step 4: Simplify right side
    162,015.75x = 49,503,357,542.25
  5. Step 5: Solve for x
    x = 49,503,357,542.25/162,015.75
  6. Step 6: Final answer
    x = 305,546.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.