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Finding the Third Proportional to 190,079 and 284,556

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Solution

The third proportional to 190,079 and 284,556 is: 425,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,079 : 284,556 = 284,556 : x
  2. Step 2: Convert to fraction form
    190,079/284,556 = 284,556/x
  3. Step 3: Cross multiply
    190,079x = 284,556 × 284,556
  4. Step 4: Simplify right side
    190,079x = 80,972,117,136
  5. Step 5: Solve for x
    x = 80,972,117,136/190,079
  6. Step 6: Final answer
    x = 425,991.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.