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Finding the Third Proportional to 103,678 and 226,833

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Solution

The third proportional to 103,678 and 226,833 is: 496,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678 : 226,833 = 226,833 : x
  2. Step 2: Convert to fraction form
    103,678/226,833 = 226,833/x
  3. Step 3: Cross multiply
    103,678x = 226,833 × 226,833
  4. Step 4: Simplify right side
    103,678x = 51,453,209,889
  5. Step 5: Solve for x
    x = 51,453,209,889/103,678
  6. Step 6: Final answer
    x = 496,278.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.