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Finding the Third Proportional to 171,644 and 378,188

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Solution

The third proportional to 171,644 and 378,188 is: 833,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,644 : 378,188 = 378,188 : x
  2. Step 2: Convert to fraction form
    171,644/378,188 = 378,188/x
  3. Step 3: Cross multiply
    171,644x = 378,188 × 378,188
  4. Step 4: Simplify right side
    171,644x = 143,026,163,344
  5. Step 5: Solve for x
    x = 143,026,163,344/171,644
  6. Step 6: Final answer
    x = 833,272.14

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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.