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Finding the Third Proportional to 104,564 and 227,380

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Solution

The third proportional to 104,564 and 227,380 is: 494,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,564 : 227,380 = 227,380 : x
  2. Step 2: Convert to fraction form
    104,564/227,380 = 227,380/x
  3. Step 3: Cross multiply
    104,564x = 227,380 × 227,380
  4. Step 4: Simplify right side
    104,564x = 51,701,664,400
  5. Step 5: Solve for x
    x = 51,701,664,400/104,564
  6. Step 6: Final answer
    x = 494,449.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.