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Finding the Third Proportional to 206,813.25 and 331,816.50

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Solution

The third proportional to 206,813.25 and 331,816.50 is: 532,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,813.25 : 331,816.50 = 331,816.50 : x
  2. Step 2: Convert to fraction form
    206,813.25/331,816.50 = 331,816.50/x
  3. Step 3: Cross multiply
    206,813.25x = 331,816.50 × 331,816.50
  4. Step 4: Simplify right side
    206,813.25x = 110,102,189,672.25
  5. Step 5: Solve for x
    x = 110,102,189,672.25/206,813.25
  6. Step 6: Final answer
    x = 532,374.93

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.