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Finding the Third Proportional to 180,546 and 396,100

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Solution

The third proportional to 180,546 and 396,100 is: 869,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,546 : 396,100 = 396,100 : x
  2. Step 2: Convert to fraction form
    180,546/396,100 = 396,100/x
  3. Step 3: Cross multiply
    180,546x = 396,100 × 396,100
  4. Step 4: Simplify right side
    180,546x = 156,895,210,000
  5. Step 5: Solve for x
    x = 156,895,210,000/180,546
  6. Step 6: Final answer
    x = 869,004.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.