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Finding the Third Proportional to 192,872 and 430,456

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Solution

The third proportional to 192,872 and 430,456 is: 960,701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,872 : 430,456 = 430,456 : x
  2. Step 2: Convert to fraction form
    192,872/430,456 = 430,456/x
  3. Step 3: Cross multiply
    192,872x = 430,456 × 430,456
  4. Step 4: Simplify right side
    192,872x = 185,292,367,936
  5. Step 5: Solve for x
    x = 185,292,367,936/192,872
  6. Step 6: Final answer
    x = 960,701.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.