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Finding the Third Proportional to 106,296 and 223,608

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Solution

The third proportional to 106,296 and 223,608 is: 470,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,296 : 223,608 = 223,608 : x
  2. Step 2: Convert to fraction form
    106,296/223,608 = 223,608/x
  3. Step 3: Cross multiply
    106,296x = 223,608 × 223,608
  4. Step 4: Simplify right side
    106,296x = 50,000,537,664
  5. Step 5: Solve for x
    x = 50,000,537,664/106,296
  6. Step 6: Final answer
    x = 470,389.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.