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Finding the Third Proportional to 206,610.75 and 308,701.13

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Solution

The third proportional to 206,610.75 and 308,701.13 is: 461,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,610.75 : 308,701.13 = 308,701.13 : x
  2. Step 2: Convert to fraction form
    206,610.75/308,701.13 = 308,701.13/x
  3. Step 3: Cross multiply
    206,610.75x = 308,701.13 × 308,701.13
  4. Step 4: Simplify right side
    206,610.75x = 95,296,384,576.27
  5. Step 5: Solve for x
    x = 95,296,384,576.27/206,610.75
  6. Step 6: Final answer
    x = 461,236.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.