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Finding the Third Proportional to 103,479 and 227,280

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Solution

The third proportional to 103,479 and 227,280 is: 499,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,479 : 227,280 = 227,280 : x
  2. Step 2: Convert to fraction form
    103,479/227,280 = 227,280/x
  3. Step 3: Cross multiply
    103,479x = 227,280 × 227,280
  4. Step 4: Simplify right side
    103,479x = 51,656,198,400
  5. Step 5: Solve for x
    x = 51,656,198,400/103,479
  6. Step 6: Final answer
    x = 499,194.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.