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Finding the Third Proportional to 104,238 and 227,295

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Solution

The third proportional to 104,238 and 227,295 is: 495,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,238 : 227,295 = 227,295 : x
  2. Step 2: Convert to fraction form
    104,238/227,295 = 227,295/x
  3. Step 3: Cross multiply
    104,238x = 227,295 × 227,295
  4. Step 4: Simplify right side
    104,238x = 51,663,017,025
  5. Step 5: Solve for x
    x = 51,663,017,025/104,238
  6. Step 6: Final answer
    x = 495,625.56

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Why These Related Problems?

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