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Finding the Third Proportional to 171,876 and 265,592

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Solution

The third proportional to 171,876 and 265,592 is: 410,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,876 : 265,592 = 265,592 : x
  2. Step 2: Convert to fraction form
    171,876/265,592 = 265,592/x
  3. Step 3: Cross multiply
    171,876x = 265,592 × 265,592
  4. Step 4: Simplify right side
    171,876x = 70,539,110,464
  5. Step 5: Solve for x
    x = 70,539,110,464/171,876
  6. Step 6: Final answer
    x = 410,406.98

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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.