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Finding the Third Proportional to 190,544 and 280,108

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Solution

The third proportional to 190,544 and 280,108 is: 411,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,544 : 280,108 = 280,108 : x
  2. Step 2: Convert to fraction form
    190,544/280,108 = 280,108/x
  3. Step 3: Cross multiply
    190,544x = 280,108 × 280,108
  4. Step 4: Simplify right side
    190,544x = 78,460,491,664
  5. Step 5: Solve for x
    x = 78,460,491,664/190,544
  6. Step 6: Final answer
    x = 411,770.99

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Why These Related Problems?

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