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Finding the Third Proportional to 108,924.75 and 227,826

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Solution

The third proportional to 108,924.75 and 227,826 is: 476,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,924.75 : 227,826 = 227,826 : x
  2. Step 2: Convert to fraction form
    108,924.75/227,826 = 227,826/x
  3. Step 3: Cross multiply
    108,924.75x = 227,826 × 227,826
  4. Step 4: Simplify right side
    108,924.75x = 51,904,686,276
  5. Step 5: Solve for x
    x = 51,904,686,276/108,924.75
  6. Step 6: Final answer
    x = 476,518.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.