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Finding the Third Proportional to 104,410 and 227,642

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Solution

The third proportional to 104,410 and 227,642 is: 496,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,410 : 227,642 = 227,642 : x
  2. Step 2: Convert to fraction form
    104,410/227,642 = 227,642/x
  3. Step 3: Cross multiply
    104,410x = 227,642 × 227,642
  4. Step 4: Simplify right side
    104,410x = 51,820,880,164
  5. Step 5: Solve for x
    x = 51,820,880,164/104,410
  6. Step 6: Final answer
    x = 496,321.04

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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.