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Finding the Third Proportional to 80,714 and 177,348

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Solution

The third proportional to 80,714 and 177,348 is: 389,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,714 : 177,348 = 177,348 : x
  2. Step 2: Convert to fraction form
    80,714/177,348 = 177,348/x
  3. Step 3: Cross multiply
    80,714x = 177,348 × 177,348
  4. Step 4: Simplify right side
    80,714x = 31,452,313,104
  5. Step 5: Solve for x
    x = 31,452,313,104/80,714
  6. Step 6: Final answer
    x = 389,676.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.