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Finding the Third Proportional to 162,022.50 and 222,495.75

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Solution

The third proportional to 162,022.50 and 222,495.75 is: 305,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,022.50 : 222,495.75 = 222,495.75 : x
  2. Step 2: Convert to fraction form
    162,022.50/222,495.75 = 222,495.75/x
  3. Step 3: Cross multiply
    162,022.50x = 222,495.75 × 222,495.75
  4. Step 4: Simplify right side
    162,022.50x = 49,504,358,768.06
  5. Step 5: Solve for x
    x = 49,504,358,768.06/162,022.50
  6. Step 6: Final answer
    x = 305,540.03

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Why These Related Problems?

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