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Finding the Third Proportional to 180,960 and 394,044

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Solution

The third proportional to 180,960 and 394,044 is: 858,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,960 : 394,044 = 394,044 : x
  2. Step 2: Convert to fraction form
    180,960/394,044 = 394,044/x
  3. Step 3: Cross multiply
    180,960x = 394,044 × 394,044
  4. Step 4: Simplify right side
    180,960x = 155,270,673,936
  5. Step 5: Solve for x
    x = 155,270,673,936/180,960
  6. Step 6: Final answer
    x = 858,038.65

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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.