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Finding the Third Proportional to 208,067 and 310,180

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Solution

The third proportional to 208,067 and 310,180 is: 462,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,067 : 310,180 = 310,180 : x
  2. Step 2: Convert to fraction form
    208,067/310,180 = 310,180/x
  3. Step 3: Cross multiply
    208,067x = 310,180 × 310,180
  4. Step 4: Simplify right side
    208,067x = 96,211,632,400
  5. Step 5: Solve for x
    x = 96,211,632,400/208,067
  6. Step 6: Final answer
    x = 462,406.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.