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Finding the Third Proportional to 87,384 and 183,084

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Solution

The third proportional to 87,384 and 183,084 is: 383,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,384 : 183,084 = 183,084 : x
  2. Step 2: Convert to fraction form
    87,384/183,084 = 183,084/x
  3. Step 3: Cross multiply
    87,384x = 183,084 × 183,084
  4. Step 4: Simplify right side
    87,384x = 33,519,751,056
  5. Step 5: Solve for x
    x = 33,519,751,056/87,384
  6. Step 6: Final answer
    x = 383,591.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.