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Finding the Third Proportional to 168,682 and 254,846

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Solution

The third proportional to 168,682 and 254,846 is: 385,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,682 : 254,846 = 254,846 : x
  2. Step 2: Convert to fraction form
    168,682/254,846 = 254,846/x
  3. Step 3: Cross multiply
    168,682x = 254,846 × 254,846
  4. Step 4: Simplify right side
    168,682x = 64,946,483,716
  5. Step 5: Solve for x
    x = 64,946,483,716/168,682
  6. Step 6: Final answer
    x = 385,023.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.