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Finding the Third Proportional to 168,962 and 252,942

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Solution

The third proportional to 168,962 and 252,942 is: 378,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,962 : 252,942 = 252,942 : x
  2. Step 2: Convert to fraction form
    168,962/252,942 = 252,942/x
  3. Step 3: Cross multiply
    168,962x = 252,942 × 252,942
  4. Step 4: Simplify right side
    168,962x = 63,979,655,364
  5. Step 5: Solve for x
    x = 63,979,655,364/168,962
  6. Step 6: Final answer
    x = 378,662.99

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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.