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Finding the Third Proportional to 171,878 and 265,593

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Solution

The third proportional to 171,878 and 265,593 is: 410,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,878 : 265,593 = 265,593 : x
  2. Step 2: Convert to fraction form
    171,878/265,593 = 265,593/x
  3. Step 3: Cross multiply
    171,878x = 265,593 × 265,593
  4. Step 4: Simplify right side
    171,878x = 70,539,641,649
  5. Step 5: Solve for x
    x = 70,539,641,649/171,878
  6. Step 6: Final answer
    x = 410,405.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.