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Finding the Third Proportional to 171,112 and 353,064

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Solution

The third proportional to 171,112 and 353,064 is: 728,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,112 : 353,064 = 353,064 : x
  2. Step 2: Convert to fraction form
    171,112/353,064 = 353,064/x
  3. Step 3: Cross multiply
    171,112x = 353,064 × 353,064
  4. Step 4: Simplify right side
    171,112x = 124,654,188,096
  5. Step 5: Solve for x
    x = 124,654,188,096/171,112
  6. Step 6: Final answer
    x = 728,494.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.