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Finding the Third Proportional to 170,462 and 378,184

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Solution

The third proportional to 170,462 and 378,184 is: 839,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,462 : 378,184 = 378,184 : x
  2. Step 2: Convert to fraction form
    170,462/378,184 = 378,184/x
  3. Step 3: Cross multiply
    170,462x = 378,184 × 378,184
  4. Step 4: Simplify right side
    170,462x = 143,023,137,856
  5. Step 5: Solve for x
    x = 143,023,137,856/170,462
  6. Step 6: Final answer
    x = 839,032.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.