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Finding the Third Proportional to 104,280 and 227,682

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Solution

The third proportional to 104,280 and 227,682 is: 497,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,280 : 227,682 = 227,682 : x
  2. Step 2: Convert to fraction form
    104,280/227,682 = 227,682/x
  3. Step 3: Cross multiply
    104,280x = 227,682 × 227,682
  4. Step 4: Simplify right side
    104,280x = 51,839,093,124
  5. Step 5: Solve for x
    x = 51,839,093,124/104,280
  6. Step 6: Final answer
    x = 497,114.43

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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.