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Finding the Third Proportional to 104,043 and 227,349

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Solution

The third proportional to 104,043 and 227,349 is: 496,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,043 : 227,349 = 227,349 : x
  2. Step 2: Convert to fraction form
    104,043/227,349 = 227,349/x
  3. Step 3: Cross multiply
    104,043x = 227,349 × 227,349
  4. Step 4: Simplify right side
    104,043x = 51,687,567,801
  5. Step 5: Solve for x
    x = 51,687,567,801/104,043
  6. Step 6: Final answer
    x = 496,790.44

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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.