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Finding the Third Proportional to 117,238 and 238,619.50

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Solution

The third proportional to 117,238 and 238,619.50 is: 485,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,238 : 238,619.50 = 238,619.50 : x
  2. Step 2: Convert to fraction form
    117,238/238,619.50 = 238,619.50/x
  3. Step 3: Cross multiply
    117,238x = 238,619.50 × 238,619.50
  4. Step 4: Simplify right side
    117,238x = 56,939,265,780.25
  5. Step 5: Solve for x
    x = 56,939,265,780.25/117,238
  6. Step 6: Final answer
    x = 485,672.44

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