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Finding the Third Proportional to 104,252 and 227,214

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Solution

The third proportional to 104,252 and 227,214 is: 495,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,252 : 227,214 = 227,214 : x
  2. Step 2: Convert to fraction form
    104,252/227,214 = 227,214/x
  3. Step 3: Cross multiply
    104,252x = 227,214 × 227,214
  4. Step 4: Simplify right side
    104,252x = 51,626,201,796
  5. Step 5: Solve for x
    x = 51,626,201,796/104,252
  6. Step 6: Final answer
    x = 495,205.86

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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.