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Finding the Third Proportional to 205,448.25 and 448,267.50

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Solution

The third proportional to 205,448.25 and 448,267.50 is: 978,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,448.25 : 448,267.50 = 448,267.50 : x
  2. Step 2: Convert to fraction form
    205,448.25/448,267.50 = 448,267.50/x
  3. Step 3: Cross multiply
    205,448.25x = 448,267.50 × 448,267.50
  4. Step 4: Simplify right side
    205,448.25x = 200,943,751,556.25
  5. Step 5: Solve for x
    x = 200,943,751,556.25/205,448.25
  6. Step 6: Final answer
    x = 978,074.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.