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Finding the Third Proportional to 129,984 and 283,456

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Solution

The third proportional to 129,984 and 283,456 is: 618,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,984 : 283,456 = 283,456 : x
  2. Step 2: Convert to fraction form
    129,984/283,456 = 283,456/x
  3. Step 3: Cross multiply
    129,984x = 283,456 × 283,456
  4. Step 4: Simplify right side
    129,984x = 80,347,303,936
  5. Step 5: Solve for x
    x = 80,347,303,936/129,984
  6. Step 6: Final answer
    x = 618,132.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.