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Finding the Third Proportional to 104,462 and 227,786

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Solution

The third proportional to 104,462 and 227,786 is: 496,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,462 : 227,786 = 227,786 : x
  2. Step 2: Convert to fraction form
    104,462/227,786 = 227,786/x
  3. Step 3: Cross multiply
    104,462x = 227,786 × 227,786
  4. Step 4: Simplify right side
    104,462x = 51,886,461,796
  5. Step 5: Solve for x
    x = 51,886,461,796/104,462
  6. Step 6: Final answer
    x = 496,701.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.