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Finding the Third Proportional to 129,180 and 283,824

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Solution

The third proportional to 129,180 and 283,824 is: 623,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,180 : 283,824 = 283,824 : x
  2. Step 2: Convert to fraction form
    129,180/283,824 = 283,824/x
  3. Step 3: Cross multiply
    129,180x = 283,824 × 283,824
  4. Step 4: Simplify right side
    129,180x = 80,556,062,976
  5. Step 5: Solve for x
    x = 80,556,062,976/129,180
  6. Step 6: Final answer
    x = 623,595.47

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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.