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Finding the Third Proportional to 185,792 and 283,296

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Solution

The third proportional to 185,792 and 283,296 is: 431,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,792 : 283,296 = 283,296 : x
  2. Step 2: Convert to fraction form
    185,792/283,296 = 283,296/x
  3. Step 3: Cross multiply
    185,792x = 283,296 × 283,296
  4. Step 4: Simplify right side
    185,792x = 80,256,623,616
  5. Step 5: Solve for x
    x = 80,256,623,616/185,792
  6. Step 6: Final answer
    x = 431,970.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.