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Finding the Third Proportional to 197,208 and 309,025.50

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Solution

The third proportional to 197,208 and 309,025.50 is: 484,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,208 : 309,025.50 = 309,025.50 : x
  2. Step 2: Convert to fraction form
    197,208/309,025.50 = 309,025.50/x
  3. Step 3: Cross multiply
    197,208x = 309,025.50 × 309,025.50
  4. Step 4: Simplify right side
    197,208x = 95,496,759,650.25
  5. Step 5: Solve for x
    x = 95,496,759,650.25/197,208
  6. Step 6: Final answer
    x = 484,243.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.