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Finding the Third Proportional to 115,743 and 253,644

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Solution

The third proportional to 115,743 and 253,644 is: 555,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,743 : 253,644 = 253,644 : x
  2. Step 2: Convert to fraction form
    115,743/253,644 = 253,644/x
  3. Step 3: Cross multiply
    115,743x = 253,644 × 253,644
  4. Step 4: Simplify right side
    115,743x = 64,335,278,736
  5. Step 5: Solve for x
    x = 64,335,278,736/115,743
  6. Step 6: Final answer
    x = 555,845.96

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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.