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Finding the Third Proportional to 236,622 and 513,167

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Solution

The third proportional to 236,622 and 513,167 is: 1,112,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,622 : 513,167 = 513,167 : x
  2. Step 2: Convert to fraction form
    236,622/513,167 = 513,167/x
  3. Step 3: Cross multiply
    236,622x = 513,167 × 513,167
  4. Step 4: Simplify right side
    236,622x = 263,340,369,889
  5. Step 5: Solve for x
    x = 263,340,369,889/236,622
  6. Step 6: Final answer
    x = 1,112,915.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.