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Finding the Third Proportional to 188,954.25 and 414,768

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Solution

The third proportional to 188,954.25 and 414,768 is: 910,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,954.25 : 414,768 = 414,768 : x
  2. Step 2: Convert to fraction form
    188,954.25/414,768 = 414,768/x
  3. Step 3: Cross multiply
    188,954.25x = 414,768 × 414,768
  4. Step 4: Simplify right side
    188,954.25x = 172,032,493,824
  5. Step 5: Solve for x
    x = 172,032,493,824/188,954.25
  6. Step 6: Final answer
    x = 910,445.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.