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Finding the Third Proportional to 171,448 and 263,735

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Solution

The third proportional to 171,448 and 263,735 is: 405,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,448 : 263,735 = 263,735 : x
  2. Step 2: Convert to fraction form
    171,448/263,735 = 263,735/x
  3. Step 3: Cross multiply
    171,448x = 263,735 × 263,735
  4. Step 4: Simplify right side
    171,448x = 69,556,150,225
  5. Step 5: Solve for x
    x = 69,556,150,225/171,448
  6. Step 6: Final answer
    x = 405,698.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.