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Finding the Third Proportional to 188,268 and 414,444

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Solution

The third proportional to 188,268 and 414,444 is: 912,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,268 : 414,444 = 414,444 : x
  2. Step 2: Convert to fraction form
    188,268/414,444 = 414,444/x
  3. Step 3: Cross multiply
    188,268x = 414,444 × 414,444
  4. Step 4: Simplify right side
    188,268x = 171,763,829,136
  5. Step 5: Solve for x
    x = 171,763,829,136/188,268
  6. Step 6: Final answer
    x = 912,336.82

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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.