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Finding the Third Proportional to 129,914 and 283,338

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Solution

The third proportional to 129,914 and 283,338 is: 617,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,914 : 283,338 = 283,338 : x
  2. Step 2: Convert to fraction form
    129,914/283,338 = 283,338/x
  3. Step 3: Cross multiply
    129,914x = 283,338 × 283,338
  4. Step 4: Simplify right side
    129,914x = 80,280,422,244
  5. Step 5: Solve for x
    x = 80,280,422,244/129,914
  6. Step 6: Final answer
    x = 617,950.51

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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.