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Finding the Third Proportional to 132,996 and 199,818

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Solution

The third proportional to 132,996 and 199,818 is: 300,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,996 : 199,818 = 199,818 : x
  2. Step 2: Convert to fraction form
    132,996/199,818 = 199,818/x
  3. Step 3: Cross multiply
    132,996x = 199,818 × 199,818
  4. Step 4: Simplify right side
    132,996x = 39,927,233,124
  5. Step 5: Solve for x
    x = 39,927,233,124/132,996
  6. Step 6: Final answer
    x = 300,213.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.