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Finding the Third Proportional to 192,600 and 429,456

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Solution

The third proportional to 192,600 and 429,456 is: 957,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,600 : 429,456 = 429,456 : x
  2. Step 2: Convert to fraction form
    192,600/429,456 = 429,456/x
  3. Step 3: Cross multiply
    192,600x = 429,456 × 429,456
  4. Step 4: Simplify right side
    192,600x = 184,432,455,936
  5. Step 5: Solve for x
    x = 184,432,455,936/192,600
  6. Step 6: Final answer
    x = 957,593.23

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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.