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Finding the Third Proportional to 190,204 and 282,382

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Solution

The third proportional to 190,204 and 282,382 is: 419,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,204 : 282,382 = 282,382 : x
  2. Step 2: Convert to fraction form
    190,204/282,382 = 282,382/x
  3. Step 3: Cross multiply
    190,204x = 282,382 × 282,382
  4. Step 4: Simplify right side
    190,204x = 79,739,593,924
  5. Step 5: Solve for x
    x = 79,739,593,924/190,204
  6. Step 6: Final answer
    x = 419,231.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.