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Finding the Third Proportional to 196,173 and 436,761

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Solution

The third proportional to 196,173 and 436,761 is: 972,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,173 : 436,761 = 436,761 : x
  2. Step 2: Convert to fraction form
    196,173/436,761 = 436,761/x
  3. Step 3: Cross multiply
    196,173x = 436,761 × 436,761
  4. Step 4: Simplify right side
    196,173x = 190,760,171,121
  5. Step 5: Solve for x
    x = 190,760,171,121/196,173
  6. Step 6: Final answer
    x = 972,407.88

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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.