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Finding the Third Proportional to 171,630 and 265,749

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Solution

The third proportional to 171,630 and 265,749 is: 411,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,630 : 265,749 = 265,749 : x
  2. Step 2: Convert to fraction form
    171,630/265,749 = 265,749/x
  3. Step 3: Cross multiply
    171,630x = 265,749 × 265,749
  4. Step 4: Simplify right side
    171,630x = 70,622,531,001
  5. Step 5: Solve for x
    x = 70,622,531,001/171,630
  6. Step 6: Final answer
    x = 411,481.27

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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.