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Finding the Third Proportional to 168,434 and 204,520

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Solution

The third proportional to 168,434 and 204,520 is: 248,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,434 : 204,520 = 204,520 : x
  2. Step 2: Convert to fraction form
    168,434/204,520 = 204,520/x
  3. Step 3: Cross multiply
    168,434x = 204,520 × 204,520
  4. Step 4: Simplify right side
    168,434x = 41,828,430,400
  5. Step 5: Solve for x
    x = 41,828,430,400/168,434
  6. Step 6: Final answer
    x = 248,337.21

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.