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Finding the Third Proportional to 168,609 and 254,027

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Solution

The third proportional to 168,609 and 254,027 is: 382,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,609 : 254,027 = 254,027 : x
  2. Step 2: Convert to fraction form
    168,609/254,027 = 254,027/x
  3. Step 3: Cross multiply
    168,609x = 254,027 × 254,027
  4. Step 4: Simplify right side
    168,609x = 64,529,716,729
  5. Step 5: Solve for x
    x = 64,529,716,729/168,609
  6. Step 6: Final answer
    x = 382,718.10

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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.