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Finding the Third Proportional to 217,610.63 and 332,855.63

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Solution

The third proportional to 217,610.63 and 332,855.63 is: 509,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,610.63 : 332,855.63 = 332,855.63 : x
  2. Step 2: Convert to fraction form
    217,610.63/332,855.63 = 332,855.63/x
  3. Step 3: Cross multiply
    217,610.63x = 332,855.63 × 332,855.63
  4. Step 4: Simplify right side
    217,610.63x = 110,792,867,094.14
  5. Step 5: Solve for x
    x = 110,792,867,094.14/217,610.63
  6. Step 6: Final answer
    x = 509,133.54

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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.