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Finding the Third Proportional to 171,912 and 265,644

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Solution

The third proportional to 171,912 and 265,644 is: 410,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,912 : 265,644 = 265,644 : x
  2. Step 2: Convert to fraction form
    171,912/265,644 = 265,644/x
  3. Step 3: Cross multiply
    171,912x = 265,644 × 265,644
  4. Step 4: Simplify right side
    171,912x = 70,566,734,736
  5. Step 5: Solve for x
    x = 70,566,734,736/171,912
  6. Step 6: Final answer
    x = 410,481.73

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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.