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Finding the Third Proportional to 104,260.50 and 227,634.38

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Solution

The third proportional to 104,260.50 and 227,634.38 is: 496,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,260.50 : 227,634.38 = 227,634.38 : x
  2. Step 2: Convert to fraction form
    104,260.50/227,634.38 = 227,634.38/x
  3. Step 3: Cross multiply
    104,260.50x = 227,634.38 × 227,634.38
  4. Step 4: Simplify right side
    104,260.50x = 51,817,408,681.64
  5. Step 5: Solve for x
    x = 51,817,408,681.64/104,260.50
  6. Step 6: Final answer
    x = 496,999.43

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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.