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Finding the Third Proportional to 180,795 and 393,302

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Solution

The third proportional to 180,795 and 393,302 is: 855,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,795 : 393,302 = 393,302 : x
  2. Step 2: Convert to fraction form
    180,795/393,302 = 393,302/x
  3. Step 3: Cross multiply
    180,795x = 393,302 × 393,302
  4. Step 4: Simplify right side
    180,795x = 154,686,463,204
  5. Step 5: Solve for x
    x = 154,686,463,204/180,795
  6. Step 6: Final answer
    x = 855,590.38

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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.