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Finding the Third Proportional to 104,782 and 227,052

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Solution

The third proportional to 104,782 and 227,052 is: 491,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,782 : 227,052 = 227,052 : x
  2. Step 2: Convert to fraction form
    104,782/227,052 = 227,052/x
  3. Step 3: Cross multiply
    104,782x = 227,052 × 227,052
  4. Step 4: Simplify right side
    104,782x = 51,552,610,704
  5. Step 5: Solve for x
    x = 51,552,610,704/104,782
  6. Step 6: Final answer
    x = 491,998.73

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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.