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Finding the Third Proportional to 248,422.50 and 538,857

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Solution

The third proportional to 248,422.50 and 538,857 is: 1,168,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,422.50 : 538,857 = 538,857 : x
  2. Step 2: Convert to fraction form
    248,422.50/538,857 = 538,857/x
  3. Step 3: Cross multiply
    248,422.50x = 538,857 × 538,857
  4. Step 4: Simplify right side
    248,422.50x = 290,366,866,449
  5. Step 5: Solve for x
    x = 290,366,866,449/248,422.50
  6. Step 6: Final answer
    x = 1,168,842.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.