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Finding the Third Proportional to 196,649 and 431,205.50

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Solution

The third proportional to 196,649 and 431,205.50 is: 945,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,649 : 431,205.50 = 431,205.50 : x
  2. Step 2: Convert to fraction form
    196,649/431,205.50 = 431,205.50/x
  3. Step 3: Cross multiply
    196,649x = 431,205.50 × 431,205.50
  4. Step 4: Simplify right side
    196,649x = 185,938,183,230.25
  5. Step 5: Solve for x
    x = 185,938,183,230.25/196,649
  6. Step 6: Final answer
    x = 945,533.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.