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Finding the Third Proportional to 192,912 and 423,175

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Solution

The third proportional to 192,912 and 423,175 is: 928,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,912 : 423,175 = 423,175 : x
  2. Step 2: Convert to fraction form
    192,912/423,175 = 423,175/x
  3. Step 3: Cross multiply
    192,912x = 423,175 × 423,175
  4. Step 4: Simplify right side
    192,912x = 179,077,080,625
  5. Step 5: Solve for x
    x = 179,077,080,625/192,912
  6. Step 6: Final answer
    x = 928,283.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.