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Finding the Third Proportional to 104,286 and 227,196

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Solution

The third proportional to 104,286 and 227,196 is: 494,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,286 : 227,196 = 227,196 : x
  2. Step 2: Convert to fraction form
    104,286/227,196 = 227,196/x
  3. Step 3: Cross multiply
    104,286x = 227,196 × 227,196
  4. Step 4: Simplify right side
    104,286x = 51,618,022,416
  5. Step 5: Solve for x
    x = 51,618,022,416/104,286
  6. Step 6: Final answer
    x = 494,965.98

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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.