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Finding the Third Proportional to 106,208 and 226,240

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Solution

The third proportional to 106,208 and 226,240 is: 481,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,208 : 226,240 = 226,240 : x
  2. Step 2: Convert to fraction form
    106,208/226,240 = 226,240/x
  3. Step 3: Cross multiply
    106,208x = 226,240 × 226,240
  4. Step 4: Simplify right side
    106,208x = 51,184,537,600
  5. Step 5: Solve for x
    x = 51,184,537,600/106,208
  6. Step 6: Final answer
    x = 481,927.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.