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Finding the Third Proportional to 205,968 and 445,247.50

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Solution

The third proportional to 205,968 and 445,247.50 is: 962,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,968 : 445,247.50 = 445,247.50 : x
  2. Step 2: Convert to fraction form
    205,968/445,247.50 = 445,247.50/x
  3. Step 3: Cross multiply
    205,968x = 445,247.50 × 445,247.50
  4. Step 4: Simplify right side
    205,968x = 198,245,336,256.25
  5. Step 5: Solve for x
    x = 198,245,336,256.25/205,968
  6. Step 6: Final answer
    x = 962,505.52

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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.