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Finding the Third Proportional to 135,729 and 283,851

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Solution

The third proportional to 135,729 and 283,851 is: 593,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,729 : 283,851 = 283,851 : x
  2. Step 2: Convert to fraction form
    135,729/283,851 = 283,851/x
  3. Step 3: Cross multiply
    135,729x = 283,851 × 283,851
  4. Step 4: Simplify right side
    135,729x = 80,571,390,201
  5. Step 5: Solve for x
    x = 80,571,390,201/135,729
  6. Step 6: Final answer
    x = 593,619.57

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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.