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Finding the Third Proportional to 168,514 and 253,203

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Solution

The third proportional to 168,514 and 253,203 is: 380,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,514 : 253,203 = 253,203 : x
  2. Step 2: Convert to fraction form
    168,514/253,203 = 253,203/x
  3. Step 3: Cross multiply
    168,514x = 253,203 × 253,203
  4. Step 4: Simplify right side
    168,514x = 64,111,759,209
  5. Step 5: Solve for x
    x = 64,111,759,209/168,514
  6. Step 6: Final answer
    x = 380,453.61

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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.