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Finding the Third Proportional to 171,965 and 265,616

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Solution

The third proportional to 171,965 and 265,616 is: 410,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,965 : 265,616 = 265,616 : x
  2. Step 2: Convert to fraction form
    171,965/265,616 = 265,616/x
  3. Step 3: Cross multiply
    171,965x = 265,616 × 265,616
  4. Step 4: Simplify right side
    171,965x = 70,551,859,456
  5. Step 5: Solve for x
    x = 70,551,859,456/171,965
  6. Step 6: Final answer
    x = 410,268.71

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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.