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Finding the Third Proportional to 179,078 and 389,788

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Solution

The third proportional to 179,078 and 389,788 is: 848,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,078 : 389,788 = 389,788 : x
  2. Step 2: Convert to fraction form
    179,078/389,788 = 389,788/x
  3. Step 3: Cross multiply
    179,078x = 389,788 × 389,788
  4. Step 4: Simplify right side
    179,078x = 151,934,684,944
  5. Step 5: Solve for x
    x = 151,934,684,944/179,078
  6. Step 6: Final answer
    x = 848,427.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.