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Finding the Third Proportional to 152,957.11 and 331,338.09

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Solution

The third proportional to 152,957.11 and 331,338.09 is: 717,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,957.11 : 331,338.09 = 331,338.09 : x
  2. Step 2: Convert to fraction form
    152,957.11/331,338.09 = 331,338.09/x
  3. Step 3: Cross multiply
    152,957.11x = 331,338.09 × 331,338.09
  4. Step 4: Simplify right side
    152,957.11x = 109,784,932,369.88
  5. Step 5: Solve for x
    x = 109,784,932,369.88/152,957.11
  6. Step 6: Final answer
    x = 717,749.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.