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Finding the Third Proportional to 199,674 and 436,191

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Solution

The third proportional to 199,674 and 436,191 is: 952,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,674 : 436,191 = 436,191 : x
  2. Step 2: Convert to fraction form
    199,674/436,191 = 436,191/x
  3. Step 3: Cross multiply
    199,674x = 436,191 × 436,191
  4. Step 4: Simplify right side
    199,674x = 190,262,588,481
  5. Step 5: Solve for x
    x = 190,262,588,481/199,674
  6. Step 6: Final answer
    x = 952,866.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.