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Finding the Third Proportional to 217,772.25 and 332,193.75

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Solution

The third proportional to 217,772.25 and 332,193.75 is: 506,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,772.25 : 332,193.75 = 332,193.75 : x
  2. Step 2: Convert to fraction form
    217,772.25/332,193.75 = 332,193.75/x
  3. Step 3: Cross multiply
    217,772.25x = 332,193.75 × 332,193.75
  4. Step 4: Simplify right side
    217,772.25x = 110,352,687,539.06
  5. Step 5: Solve for x
    x = 110,352,687,539.06/217,772.25
  6. Step 6: Final answer
    x = 506,734.39

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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.