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Finding the Third Proportional to 221,786.44 and 313,822.69

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Solution

The third proportional to 221,786.44 and 313,822.69 is: 444,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,786.44 : 313,822.69 = 313,822.69 : x
  2. Step 2: Convert to fraction form
    221,786.44/313,822.69 = 313,822.69/x
  3. Step 3: Cross multiply
    221,786.44x = 313,822.69 × 313,822.69
  4. Step 4: Simplify right side
    221,786.44x = 98,484,679,189.72
  5. Step 5: Solve for x
    x = 98,484,679,189.72/221,786.44
  6. Step 6: Final answer
    x = 444,051.86

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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.