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Finding the Third Proportional to 190,809 and 280,379.25

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Solution

The third proportional to 190,809 and 280,379.25 is: 411,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,809 : 280,379.25 = 280,379.25 : x
  2. Step 2: Convert to fraction form
    190,809/280,379.25 = 280,379.25/x
  3. Step 3: Cross multiply
    190,809x = 280,379.25 × 280,379.25
  4. Step 4: Simplify right side
    190,809x = 78,612,523,830.56
  5. Step 5: Solve for x
    x = 78,612,523,830.56/190,809
  6. Step 6: Final answer
    x = 411,995.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.