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Finding the Third Proportional to 221,824 and 313,868

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Solution

The third proportional to 221,824 and 313,868 is: 444,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,824 : 313,868 = 313,868 : x
  2. Step 2: Convert to fraction form
    221,824/313,868 = 313,868/x
  3. Step 3: Cross multiply
    221,824x = 313,868 × 313,868
  4. Step 4: Simplify right side
    221,824x = 98,513,121,424
  5. Step 5: Solve for x
    x = 98,513,121,424/221,824
  6. Step 6: Final answer
    x = 444,104.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.