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Finding the Third Proportional to 180,539 and 252,393

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Solution

The third proportional to 180,539 and 252,393 is: 352,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,539 : 252,393 = 252,393 : x
  2. Step 2: Convert to fraction form
    180,539/252,393 = 252,393/x
  3. Step 3: Cross multiply
    180,539x = 252,393 × 252,393
  4. Step 4: Simplify right side
    180,539x = 63,702,226,449
  5. Step 5: Solve for x
    x = 63,702,226,449/180,539
  6. Step 6: Final answer
    x = 352,844.68

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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.