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Finding the Third Proportional to 152,562.75 and 319,067.25

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Solution

The third proportional to 152,562.75 and 319,067.25 is: 667,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,562.75 : 319,067.25 = 319,067.25 : x
  2. Step 2: Convert to fraction form
    152,562.75/319,067.25 = 319,067.25/x
  3. Step 3: Cross multiply
    152,562.75x = 319,067.25 × 319,067.25
  4. Step 4: Simplify right side
    152,562.75x = 101,803,910,022.56
  5. Step 5: Solve for x
    x = 101,803,910,022.56/152,562.75
  6. Step 6: Final answer
    x = 667,292.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.