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Finding the Third Proportional to 104,339 and 227,302

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Solution

The third proportional to 104,339 and 227,302 is: 495,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,339 : 227,302 = 227,302 : x
  2. Step 2: Convert to fraction form
    104,339/227,302 = 227,302/x
  3. Step 3: Cross multiply
    104,339x = 227,302 × 227,302
  4. Step 4: Simplify right side
    104,339x = 51,666,199,204
  5. Step 5: Solve for x
    x = 51,666,199,204/104,339
  6. Step 6: Final answer
    x = 495,176.29

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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.