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Finding the Third Proportional to 104,220 and 227,880

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Solution

The third proportional to 104,220 and 227,880 is: 498,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,220 : 227,880 = 227,880 : x
  2. Step 2: Convert to fraction form
    104,220/227,880 = 227,880/x
  3. Step 3: Cross multiply
    104,220x = 227,880 × 227,880
  4. Step 4: Simplify right side
    104,220x = 51,929,294,400
  5. Step 5: Solve for x
    x = 51,929,294,400/104,220
  6. Step 6: Final answer
    x = 498,266.11

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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.