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Finding the Third Proportional to 107,796 and 226,764

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Solution

The third proportional to 107,796 and 226,764 is: 477,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,796 : 226,764 = 226,764 : x
  2. Step 2: Convert to fraction form
    107,796/226,764 = 226,764/x
  3. Step 3: Cross multiply
    107,796x = 226,764 × 226,764
  4. Step 4: Simplify right side
    107,796x = 51,421,911,696
  5. Step 5: Solve for x
    x = 51,421,911,696/107,796
  6. Step 6: Final answer
    x = 477,029.87

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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.