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Finding the Third Proportional to 193,800 and 418,152

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Solution

The third proportional to 193,800 and 418,152 is: 902,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,800 : 418,152 = 418,152 : x
  2. Step 2: Convert to fraction form
    193,800/418,152 = 418,152/x
  3. Step 3: Cross multiply
    193,800x = 418,152 × 418,152
  4. Step 4: Simplify right side
    193,800x = 174,851,095,104
  5. Step 5: Solve for x
    x = 174,851,095,104/193,800
  6. Step 6: Final answer
    x = 902,224.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.