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Finding the Third Proportional to 177,539 and 384,625

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Solution

The third proportional to 177,539 and 384,625 is: 833,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,539 : 384,625 = 384,625 : x
  2. Step 2: Convert to fraction form
    177,539/384,625 = 384,625/x
  3. Step 3: Cross multiply
    177,539x = 384,625 × 384,625
  4. Step 4: Simplify right side
    177,539x = 147,936,390,625
  5. Step 5: Solve for x
    x = 147,936,390,625/177,539
  6. Step 6: Final answer
    x = 833,261.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.