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Finding the Third Proportional to 129,888.56 and 283,287.38

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Solution

The third proportional to 129,888.56 and 283,287.38 is: 617,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,888.56 : 283,287.38 = 283,287.38 : x
  2. Step 2: Convert to fraction form
    129,888.56/283,287.38 = 283,287.38/x
  3. Step 3: Cross multiply
    129,888.56x = 283,287.38 × 283,287.38
  4. Step 4: Simplify right side
    129,888.56x = 80,251,736,834.39
  5. Step 5: Solve for x
    x = 80,251,736,834.39/129,888.56
  6. Step 6: Final answer
    x = 617,850.68

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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.