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Finding the Third Proportional to 192,692 and 406,157

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Solution

The third proportional to 192,692 and 406,157 is: 856,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,692 : 406,157 = 406,157 : x
  2. Step 2: Convert to fraction form
    192,692/406,157 = 406,157/x
  3. Step 3: Cross multiply
    192,692x = 406,157 × 406,157
  4. Step 4: Simplify right side
    192,692x = 164,963,508,649
  5. Step 5: Solve for x
    x = 164,963,508,649/192,692
  6. Step 6: Final answer
    x = 856,099.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.