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Finding the Third Proportional to 104,262 and 223,286

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Solution

The third proportional to 104,262 and 223,286 is: 478,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,262 : 223,286 = 223,286 : x
  2. Step 2: Convert to fraction form
    104,262/223,286 = 223,286/x
  3. Step 3: Cross multiply
    104,262x = 223,286 × 223,286
  4. Step 4: Simplify right side
    104,262x = 49,856,637,796
  5. Step 5: Solve for x
    x = 49,856,637,796/104,262
  6. Step 6: Final answer
    x = 478,186.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.