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Finding the Third Proportional to 103,616 and 225,964

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Solution

The third proportional to 103,616 and 225,964 is: 492,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,616 : 225,964 = 225,964 : x
  2. Step 2: Convert to fraction form
    103,616/225,964 = 225,964/x
  3. Step 3: Cross multiply
    103,616x = 225,964 × 225,964
  4. Step 4: Simplify right side
    103,616x = 51,059,729,296
  5. Step 5: Solve for x
    x = 51,059,729,296/103,616
  6. Step 6: Final answer
    x = 492,778.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.