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Finding the Third Proportional to 199,660.50 and 436,167

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Solution

The third proportional to 199,660.50 and 436,167 is: 952,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,660.50 : 436,167 = 436,167 : x
  2. Step 2: Convert to fraction form
    199,660.50/436,167 = 436,167/x
  3. Step 3: Cross multiply
    199,660.50x = 436,167 × 436,167
  4. Step 4: Simplify right side
    199,660.50x = 190,241,651,889
  5. Step 5: Solve for x
    x = 190,241,651,889/199,660.50
  6. Step 6: Final answer
    x = 952,825.68

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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.