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Finding the Third Proportional to 171,556 and 378,014

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Solution

The third proportional to 171,556 and 378,014 is: 832,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,556 : 378,014 = 378,014 : x
  2. Step 2: Convert to fraction form
    171,556/378,014 = 378,014/x
  3. Step 3: Cross multiply
    171,556x = 378,014 × 378,014
  4. Step 4: Simplify right side
    171,556x = 142,894,584,196
  5. Step 5: Solve for x
    x = 142,894,584,196/171,556
  6. Step 6: Final answer
    x = 832,932.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.