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Finding the Third Proportional to 200,682 and 293,824

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Solution

The third proportional to 200,682 and 293,824 is: 430,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,682 : 293,824 = 293,824 : x
  2. Step 2: Convert to fraction form
    200,682/293,824 = 293,824/x
  3. Step 3: Cross multiply
    200,682x = 293,824 × 293,824
  4. Step 4: Simplify right side
    200,682x = 86,332,542,976
  5. Step 5: Solve for x
    x = 86,332,542,976/200,682
  6. Step 6: Final answer
    x = 430,195.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.