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Finding the Third Proportional to 190,736 and 280,265

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Solution

The third proportional to 190,736 and 280,265 is: 411,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,736 : 280,265 = 280,265 : x
  2. Step 2: Convert to fraction form
    190,736/280,265 = 280,265/x
  3. Step 3: Cross multiply
    190,736x = 280,265 × 280,265
  4. Step 4: Simplify right side
    190,736x = 78,548,470,225
  5. Step 5: Solve for x
    x = 78,548,470,225/190,736
  6. Step 6: Final answer
    x = 411,817.75

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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.