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Finding the Third Proportional to 205,967 and 445,245.50

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Solution

The third proportional to 205,967 and 445,245.50 is: 962,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,967 : 445,245.50 = 445,245.50 : x
  2. Step 2: Convert to fraction form
    205,967/445,245.50 = 445,245.50/x
  3. Step 3: Cross multiply
    205,967x = 445,245.50 × 445,245.50
  4. Step 4: Simplify right side
    205,967x = 198,243,555,270.25
  5. Step 5: Solve for x
    x = 198,243,555,270.25/205,967
  6. Step 6: Final answer
    x = 962,501.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.