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Finding the Third Proportional to 208,149.75 and 445,815

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Solution

The third proportional to 208,149.75 and 445,815 is: 954,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,149.75 : 445,815 = 445,815 : x
  2. Step 2: Convert to fraction form
    208,149.75/445,815 = 445,815/x
  3. Step 3: Cross multiply
    208,149.75x = 445,815 × 445,815
  4. Step 4: Simplify right side
    208,149.75x = 198,751,014,225
  5. Step 5: Solve for x
    x = 198,751,014,225/208,149.75
  6. Step 6: Final answer
    x = 954,846.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.