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Finding the Third Proportional to 103,789 and 225,722

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Solution

The third proportional to 103,789 and 225,722 is: 490,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,789 : 225,722 = 225,722 : x
  2. Step 2: Convert to fraction form
    103,789/225,722 = 225,722/x
  3. Step 3: Cross multiply
    103,789x = 225,722 × 225,722
  4. Step 4: Simplify right side
    103,789x = 50,950,421,284
  5. Step 5: Solve for x
    x = 50,950,421,284/103,789
  6. Step 6: Final answer
    x = 490,903.87

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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.