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Finding the Third Proportional to 188,418 and 414,024

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Solution

The third proportional to 188,418 and 414,024 is: 909,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,418 : 414,024 = 414,024 : x
  2. Step 2: Convert to fraction form
    188,418/414,024 = 414,024/x
  3. Step 3: Cross multiply
    188,418x = 414,024 × 414,024
  4. Step 4: Simplify right side
    188,418x = 171,415,872,576
  5. Step 5: Solve for x
    x = 171,415,872,576/188,418
  6. Step 6: Final answer
    x = 909,763.78

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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.