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Finding the Third Proportional to 117,238.31 and 238,620

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Solution

The third proportional to 117,238.31 and 238,620 is: 485,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,238.31 : 238,620 = 238,620 : x
  2. Step 2: Convert to fraction form
    117,238.31/238,620 = 238,620/x
  3. Step 3: Cross multiply
    117,238.31x = 238,620 × 238,620
  4. Step 4: Simplify right side
    117,238.31x = 56,939,504,400
  5. Step 5: Solve for x
    x = 56,939,504,400/117,238.31
  6. Step 6: Final answer
    x = 485,673.18

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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.