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Finding the Third Proportional to 80,511 and 171,417

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Solution

The third proportional to 80,511 and 171,417 is: 364,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,511 : 171,417 = 171,417 : x
  2. Step 2: Convert to fraction form
    80,511/171,417 = 171,417/x
  3. Step 3: Cross multiply
    80,511x = 171,417 × 171,417
  4. Step 4: Simplify right side
    80,511x = 29,383,787,889
  5. Step 5: Solve for x
    x = 29,383,787,889/80,511
  6. Step 6: Final answer
    x = 364,966.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.