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Finding the Third Proportional to 171,866 and 265,575

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Solution

The third proportional to 171,866 and 265,575 is: 410,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,866 : 265,575 = 265,575 : x
  2. Step 2: Convert to fraction form
    171,866/265,575 = 265,575/x
  3. Step 3: Cross multiply
    171,866x = 265,575 × 265,575
  4. Step 4: Simplify right side
    171,866x = 70,530,080,625
  5. Step 5: Solve for x
    x = 70,530,080,625/171,866
  6. Step 6: Final answer
    x = 410,378.32

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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.