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Finding the Third Proportional to 171,596 and 378,100

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Solution

The third proportional to 171,596 and 378,100 is: 833,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,596 : 378,100 = 378,100 : x
  2. Step 2: Convert to fraction form
    171,596/378,100 = 378,100/x
  3. Step 3: Cross multiply
    171,596x = 378,100 × 378,100
  4. Step 4: Simplify right side
    171,596x = 142,959,610,000
  5. Step 5: Solve for x
    x = 142,959,610,000/171,596
  6. Step 6: Final answer
    x = 833,117.38

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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.