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Finding the Third Proportional to 217,986.19 and 320,520.80

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Solution

The third proportional to 217,986.19 and 320,520.80 is: 471,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,986.19 : 320,520.80 = 320,520.80 : x
  2. Step 2: Convert to fraction form
    217,986.19/320,520.80 = 320,520.80/x
  3. Step 3: Cross multiply
    217,986.19x = 320,520.80 × 320,520.80
  4. Step 4: Simplify right side
    217,986.19x = 102,733,581,229.39
  5. Step 5: Solve for x
    x = 102,733,581,229.39/217,986.19
  6. Step 6: Final answer
    x = 471,284.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.