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Finding the Third Proportional to 238,390.50 and 360,016

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Solution

The third proportional to 238,390.50 and 360,016 is: 543,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,390.50 : 360,016 = 360,016 : x
  2. Step 2: Convert to fraction form
    238,390.50/360,016 = 360,016/x
  3. Step 3: Cross multiply
    238,390.50x = 360,016 × 360,016
  4. Step 4: Simplify right side
    238,390.50x = 129,611,520,256
  5. Step 5: Solve for x
    x = 129,611,520,256/238,390.50
  6. Step 6: Final answer
    x = 543,694.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.