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Finding the Third Proportional to 205,927 and 445,164.50

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Solution

The third proportional to 205,927 and 445,164.50 is: 962,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,927 : 445,164.50 = 445,164.50 : x
  2. Step 2: Convert to fraction form
    205,927/445,164.50 = 445,164.50/x
  3. Step 3: Cross multiply
    205,927x = 445,164.50 × 445,164.50
  4. Step 4: Simplify right side
    205,927x = 198,171,432,060.25
  5. Step 5: Solve for x
    x = 198,171,432,060.25/205,927
  6. Step 6: Final answer
    x = 962,338.27

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