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Finding the Third Proportional to 171,992 and 265,656

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Solution

The third proportional to 171,992 and 265,656 is: 410,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,992 : 265,656 = 265,656 : x
  2. Step 2: Convert to fraction form
    171,992/265,656 = 265,656/x
  3. Step 3: Cross multiply
    171,992x = 265,656 × 265,656
  4. Step 4: Simplify right side
    171,992x = 70,573,110,336
  5. Step 5: Solve for x
    x = 70,573,110,336/171,992
  6. Step 6: Final answer
    x = 410,327.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.