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Finding the Third Proportional to 117,251.25 and 238,643.25

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Solution

The third proportional to 117,251.25 and 238,643.25 is: 485,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,251.25 : 238,643.25 = 238,643.25 : x
  2. Step 2: Convert to fraction form
    117,251.25/238,643.25 = 238,643.25/x
  3. Step 3: Cross multiply
    117,251.25x = 238,643.25 × 238,643.25
  4. Step 4: Simplify right side
    117,251.25x = 56,950,600,770.56
  5. Step 5: Solve for x
    x = 56,950,600,770.56/117,251.25
  6. Step 6: Final answer
    x = 485,714.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.