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Finding the Third Proportional to 190,820 and 280,394

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Solution

The third proportional to 190,820 and 280,394 is: 412,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,820 : 280,394 = 280,394 : x
  2. Step 2: Convert to fraction form
    190,820/280,394 = 280,394/x
  3. Step 3: Cross multiply
    190,820x = 280,394 × 280,394
  4. Step 4: Simplify right side
    190,820x = 78,620,795,236
  5. Step 5: Solve for x
    x = 78,620,795,236/190,820
  6. Step 6: Final answer
    x = 412,015.49

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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.