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Finding the Third Proportional to 180,474 and 252,328

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Solution

The third proportional to 180,474 and 252,328 is: 352,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,474 : 252,328 = 252,328 : x
  2. Step 2: Convert to fraction form
    180,474/252,328 = 252,328/x
  3. Step 3: Cross multiply
    180,474x = 252,328 × 252,328
  4. Step 4: Simplify right side
    180,474x = 63,669,419,584
  5. Step 5: Solve for x
    x = 63,669,419,584/180,474
  6. Step 6: Final answer
    x = 352,789.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.