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Finding the Third Proportional to 102,804 and 226,344

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Solution

The third proportional to 102,804 and 226,344 is: 498,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,804 : 226,344 = 226,344 : x
  2. Step 2: Convert to fraction form
    102,804/226,344 = 226,344/x
  3. Step 3: Cross multiply
    102,804x = 226,344 × 226,344
  4. Step 4: Simplify right side
    102,804x = 51,231,606,336
  5. Step 5: Solve for x
    x = 51,231,606,336/102,804
  6. Step 6: Final answer
    x = 498,342.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.