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Finding the Third Proportional to 194,059 and 308,584.50

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Solution

The third proportional to 194,059 and 308,584.50 is: 490,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,059 : 308,584.50 = 308,584.50 : x
  2. Step 2: Convert to fraction form
    194,059/308,584.50 = 308,584.50/x
  3. Step 3: Cross multiply
    194,059x = 308,584.50 × 308,584.50
  4. Step 4: Simplify right side
    194,059x = 95,224,393,640.25
  5. Step 5: Solve for x
    x = 95,224,393,640.25/194,059
  6. Step 6: Final answer
    x = 490,698.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.