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Finding the Third Proportional to 175,069 and 356,555

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Solution

The third proportional to 175,069 and 356,555 is: 726,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,069 : 356,555 = 356,555 : x
  2. Step 2: Convert to fraction form
    175,069/356,555 = 356,555/x
  3. Step 3: Cross multiply
    175,069x = 356,555 × 356,555
  4. Step 4: Simplify right side
    175,069x = 127,131,468,025
  5. Step 5: Solve for x
    x = 127,131,468,025/175,069
  6. Step 6: Final answer
    x = 726,179.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.