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Finding the Third Proportional to 106,504 and 227,248

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Solution

The third proportional to 106,504 and 227,248 is: 484,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,504 : 227,248 = 227,248 : x
  2. Step 2: Convert to fraction form
    106,504/227,248 = 227,248/x
  3. Step 3: Cross multiply
    106,504x = 227,248 × 227,248
  4. Step 4: Simplify right side
    106,504x = 51,641,653,504
  5. Step 5: Solve for x
    x = 51,641,653,504/106,504
  6. Step 6: Final answer
    x = 484,879.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.