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Finding the Third Proportional to 211,530 and 319,087

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Solution

The third proportional to 211,530 and 319,087 is: 481,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,530 : 319,087 = 319,087 : x
  2. Step 2: Convert to fraction form
    211,530/319,087 = 319,087/x
  3. Step 3: Cross multiply
    211,530x = 319,087 × 319,087
  4. Step 4: Simplify right side
    211,530x = 101,816,513,569
  5. Step 5: Solve for x
    x = 101,816,513,569/211,530
  6. Step 6: Final answer
    x = 481,333.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.