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Finding the Third Proportional to 104,328 and 227,472

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Solution

The third proportional to 104,328 and 227,472 is: 495,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,328 : 227,472 = 227,472 : x
  2. Step 2: Convert to fraction form
    104,328/227,472 = 227,472/x
  3. Step 3: Cross multiply
    104,328x = 227,472 × 227,472
  4. Step 4: Simplify right side
    104,328x = 51,743,510,784
  5. Step 5: Solve for x
    x = 51,743,510,784/104,328
  6. Step 6: Final answer
    x = 495,969.55

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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.