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Finding the Third Proportional to 216,517.50 and 311,883.75

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Solution

The third proportional to 216,517.50 and 311,883.75 is: 449,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,517.50 : 311,883.75 = 311,883.75 : x
  2. Step 2: Convert to fraction form
    216,517.50/311,883.75 = 311,883.75/x
  3. Step 3: Cross multiply
    216,517.50x = 311,883.75 × 311,883.75
  4. Step 4: Simplify right side
    216,517.50x = 97,271,473,514.06
  5. Step 5: Solve for x
    x = 97,271,473,514.06/216,517.50
  6. Step 6: Final answer
    x = 449,254.56

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.