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Finding the Third Proportional to 129,960 and 283,408

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Solution

The third proportional to 129,960 and 283,408 is: 618,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,960 : 283,408 = 283,408 : x
  2. Step 2: Convert to fraction form
    129,960/283,408 = 283,408/x
  3. Step 3: Cross multiply
    129,960x = 283,408 × 283,408
  4. Step 4: Simplify right side
    129,960x = 80,320,094,464
  5. Step 5: Solve for x
    x = 80,320,094,464/129,960
  6. Step 6: Final answer
    x = 618,037.05

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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.