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Finding the Third Proportional to 199,071 and 436,974

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Solution

The third proportional to 199,071 and 436,974 is: 959,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,071 : 436,974 = 436,974 : x
  2. Step 2: Convert to fraction form
    199,071/436,974 = 436,974/x
  3. Step 3: Cross multiply
    199,071x = 436,974 × 436,974
  4. Step 4: Simplify right side
    199,071x = 190,946,276,676
  5. Step 5: Solve for x
    x = 190,946,276,676/199,071
  6. Step 6: Final answer
    x = 959,186.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.