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Finding the Third Proportional to 171,995 and 265,661

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Solution

The third proportional to 171,995 and 265,661 is: 410,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,995 : 265,661 = 265,661 : x
  2. Step 2: Convert to fraction form
    171,995/265,661 = 265,661/x
  3. Step 3: Cross multiply
    171,995x = 265,661 × 265,661
  4. Step 4: Simplify right side
    171,995x = 70,575,766,921
  5. Step 5: Solve for x
    x = 70,575,766,921/171,995
  6. Step 6: Final answer
    x = 410,336.15

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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.