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Finding the Third Proportional to 206,568.98 and 318,516.05

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Solution

The third proportional to 206,568.98 and 318,516.05 is: 491,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,568.98 : 318,516.05 = 318,516.05 : x
  2. Step 2: Convert to fraction form
    206,568.98/318,516.05 = 318,516.05/x
  3. Step 3: Cross multiply
    206,568.98x = 318,516.05 × 318,516.05
  4. Step 4: Simplify right side
    206,568.98x = 101,452,472,116.88
  5. Step 5: Solve for x
    x = 101,452,472,116.88/206,568.98
  6. Step 6: Final answer
    x = 491,131.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.