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Finding the Third Proportional to 217,158.38 and 332,195.63

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Solution

The third proportional to 217,158.38 and 332,195.63 is: 508,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,158.38 : 332,195.63 = 332,195.63 : x
  2. Step 2: Convert to fraction form
    217,158.38/332,195.63 = 332,195.63/x
  3. Step 3: Cross multiply
    217,158.38x = 332,195.63 × 332,195.63
  4. Step 4: Simplify right side
    217,158.38x = 110,353,933,269.14
  5. Step 5: Solve for x
    x = 110,353,933,269.14/217,158.38
  6. Step 6: Final answer
    x = 508,172.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.