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Finding the Third Proportional to 104,222 and 227,884

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Solution

The third proportional to 104,222 and 227,884 is: 498,274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,222 : 227,884 = 227,884 : x
  2. Step 2: Convert to fraction form
    104,222/227,884 = 227,884/x
  3. Step 3: Cross multiply
    104,222x = 227,884 × 227,884
  4. Step 4: Simplify right side
    104,222x = 51,931,117,456
  5. Step 5: Solve for x
    x = 51,931,117,456/104,222
  6. Step 6: Final answer
    x = 498,274.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.