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Finding the Third Proportional to 211,516.31 and 327,673.69

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Solution

The third proportional to 211,516.31 and 327,673.69 is: 507,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,516.31 : 327,673.69 = 327,673.69 : x
  2. Step 2: Convert to fraction form
    211,516.31/327,673.69 = 327,673.69/x
  3. Step 3: Cross multiply
    211,516.31x = 327,673.69 × 327,673.69
  4. Step 4: Simplify right side
    211,516.31x = 107,370,045,479.85
  5. Step 5: Solve for x
    x = 107,370,045,479.85/211,516.31
  6. Step 6: Final answer
    x = 507,620.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.