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Finding the Third Proportional to 199,672 and 436,192

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Solution

The third proportional to 199,672 and 436,192 is: 952,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,672 : 436,192 = 436,192 : x
  2. Step 2: Convert to fraction form
    199,672/436,192 = 436,192/x
  3. Step 3: Cross multiply
    199,672x = 436,192 × 436,192
  4. Step 4: Simplify right side
    199,672x = 190,263,460,864
  5. Step 5: Solve for x
    x = 190,263,460,864/199,672
  6. Step 6: Final answer
    x = 952,880.03

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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.