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Finding the Third Proportional to 104,398 and 227,614

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Solution

The third proportional to 104,398 and 227,614 is: 496,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,398 : 227,614 = 227,614 : x
  2. Step 2: Convert to fraction form
    104,398/227,614 = 227,614/x
  3. Step 3: Cross multiply
    104,398x = 227,614 × 227,614
  4. Step 4: Simplify right side
    104,398x = 51,808,132,996
  5. Step 5: Solve for x
    x = 51,808,132,996/104,398
  6. Step 6: Final answer
    x = 496,255.99

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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.