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Finding the Third Proportional to 217,884.15 and 318,464.79

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Solution

The third proportional to 217,884.15 and 318,464.79 is: 465,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,884.15 : 318,464.79 = 318,464.79 : x
  2. Step 2: Convert to fraction form
    217,884.15/318,464.79 = 318,464.79/x
  3. Step 3: Cross multiply
    217,884.15x = 318,464.79 × 318,464.79
  4. Step 4: Simplify right side
    217,884.15x = 101,419,821,872.62
  5. Step 5: Solve for x
    x = 101,419,821,872.62/217,884.15
  6. Step 6: Final answer
    x = 465,475.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.