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Finding the Third Proportional to 180,571 and 388,892

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Solution

The third proportional to 180,571 and 388,892 is: 837,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,571 : 388,892 = 388,892 : x
  2. Step 2: Convert to fraction form
    180,571/388,892 = 388,892/x
  3. Step 3: Cross multiply
    180,571x = 388,892 × 388,892
  4. Step 4: Simplify right side
    180,571x = 151,236,987,664
  5. Step 5: Solve for x
    x = 151,236,987,664/180,571
  6. Step 6: Final answer
    x = 837,548.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.