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Finding the Third Proportional to 146,792 and 204,252

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Solution

The third proportional to 146,792 and 204,252 is: 284,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,792 : 204,252 = 204,252 : x
  2. Step 2: Convert to fraction form
    146,792/204,252 = 204,252/x
  3. Step 3: Cross multiply
    146,792x = 204,252 × 204,252
  4. Step 4: Simplify right side
    146,792x = 41,718,879,504
  5. Step 5: Solve for x
    x = 41,718,879,504/146,792
  6. Step 6: Final answer
    x = 284,204.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.