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Finding the Third Proportional to 183,450 and 378,324

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Solution

The third proportional to 183,450 and 378,324 is: 780,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,450 : 378,324 = 378,324 : x
  2. Step 2: Convert to fraction form
    183,450/378,324 = 378,324/x
  3. Step 3: Cross multiply
    183,450x = 378,324 × 378,324
  4. Step 4: Simplify right side
    183,450x = 143,129,048,976
  5. Step 5: Solve for x
    x = 143,129,048,976/183,450
  6. Step 6: Final answer
    x = 780,207.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.