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Finding the Third Proportional to 133,238 and 283,738

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Solution

The third proportional to 133,238 and 283,738 is: 604,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,238 : 283,738 = 283,738 : x
  2. Step 2: Convert to fraction form
    133,238/283,738 = 283,738/x
  3. Step 3: Cross multiply
    133,238x = 283,738 × 283,738
  4. Step 4: Simplify right side
    133,238x = 80,507,252,644
  5. Step 5: Solve for x
    x = 80,507,252,644/133,238
  6. Step 6: Final answer
    x = 604,236.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.