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Finding the Third Proportional to 206,808.75 and 331,808.63

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Solution

The third proportional to 206,808.75 and 331,808.63 is: 532,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,808.75 : 331,808.63 = 331,808.63 : x
  2. Step 2: Convert to fraction form
    206,808.75/331,808.63 = 331,808.63/x
  3. Step 3: Cross multiply
    206,808.75x = 331,808.63 × 331,808.63
  4. Step 4: Simplify right side
    206,808.75x = 110,096,963,624.39
  5. Step 5: Solve for x
    x = 110,096,963,624.39/206,808.75
  6. Step 6: Final answer
    x = 532,361.24

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Why These Related Problems?

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