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Finding the Third Proportional to 183,744 and 379,296

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Solution

The third proportional to 183,744 and 379,296 is: 782,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,744 : 379,296 = 379,296 : x
  2. Step 2: Convert to fraction form
    183,744/379,296 = 379,296/x
  3. Step 3: Cross multiply
    183,744x = 379,296 × 379,296
  4. Step 4: Simplify right side
    183,744x = 143,865,455,616
  5. Step 5: Solve for x
    x = 143,865,455,616/183,744
  6. Step 6: Final answer
    x = 782,966.82

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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.