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Finding the Third Proportional to 115,841 and 253,824

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Solution

The third proportional to 115,841 and 253,824 is: 556,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,841 : 253,824 = 253,824 : x
  2. Step 2: Convert to fraction form
    115,841/253,824 = 253,824/x
  3. Step 3: Cross multiply
    115,841x = 253,824 × 253,824
  4. Step 4: Simplify right side
    115,841x = 64,426,622,976
  5. Step 5: Solve for x
    x = 64,426,622,976/115,841
  6. Step 6: Final answer
    x = 556,164.25

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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.