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Finding the Third Proportional to 168,703 and 254,797

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Solution

The third proportional to 168,703 and 254,797 is: 384,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,703 : 254,797 = 254,797 : x
  2. Step 2: Convert to fraction form
    168,703/254,797 = 254,797/x
  3. Step 3: Cross multiply
    168,703x = 254,797 × 254,797
  4. Step 4: Simplify right side
    168,703x = 64,921,511,209
  5. Step 5: Solve for x
    x = 64,921,511,209/168,703
  6. Step 6: Final answer
    x = 384,827.25

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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.