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Finding the Third Proportional to 135,758 and 283,900

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Solution

The third proportional to 135,758 and 283,900 is: 593,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,758 : 283,900 = 283,900 : x
  2. Step 2: Convert to fraction form
    135,758/283,900 = 283,900/x
  3. Step 3: Cross multiply
    135,758x = 283,900 × 283,900
  4. Step 4: Simplify right side
    135,758x = 80,599,210,000
  5. Step 5: Solve for x
    x = 80,599,210,000/135,758
  6. Step 6: Final answer
    x = 593,697.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.