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Finding the Third Proportional to 171,148.25 and 381,649

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Solution

The third proportional to 171,148.25 and 381,649 is: 851,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,148.25 : 381,649 = 381,649 : x
  2. Step 2: Convert to fraction form
    171,148.25/381,649 = 381,649/x
  3. Step 3: Cross multiply
    171,148.25x = 381,649 × 381,649
  4. Step 4: Simplify right side
    171,148.25x = 145,655,959,201
  5. Step 5: Solve for x
    x = 145,655,959,201/171,148.25
  6. Step 6: Final answer
    x = 851,051.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.