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Finding the Third Proportional to 180,592 and 388,932

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Solution

The third proportional to 180,592 and 388,932 is: 837,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,592 : 388,932 = 388,932 : x
  2. Step 2: Convert to fraction form
    180,592/388,932 = 388,932/x
  3. Step 3: Cross multiply
    180,592x = 388,932 × 388,932
  4. Step 4: Simplify right side
    180,592x = 151,268,100,624
  5. Step 5: Solve for x
    x = 151,268,100,624/180,592
  6. Step 6: Final answer
    x = 837,623.49

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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.