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Finding the Third Proportional to 252,961.25 and 538,695

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Solution

The third proportional to 252,961.25 and 538,695 is: 1,147,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,961.25 : 538,695 = 538,695 : x
  2. Step 2: Convert to fraction form
    252,961.25/538,695 = 538,695/x
  3. Step 3: Cross multiply
    252,961.25x = 538,695 × 538,695
  4. Step 4: Simplify right side
    252,961.25x = 290,192,303,025
  5. Step 5: Solve for x
    x = 290,192,303,025/252,961.25
  6. Step 6: Final answer
    x = 1,147,180.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.