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Finding the Third Proportional to 188,272 and 414,452

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Solution

The third proportional to 188,272 and 414,452 is: 912,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,272 : 414,452 = 414,452 : x
  2. Step 2: Convert to fraction form
    188,272/414,452 = 414,452/x
  3. Step 3: Cross multiply
    188,272x = 414,452 × 414,452
  4. Step 4: Simplify right side
    188,272x = 171,770,460,304
  5. Step 5: Solve for x
    x = 171,770,460,304/188,272
  6. Step 6: Final answer
    x = 912,352.66

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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.