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Finding the Third Proportional to 150,952.25 and 319,902.25

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Solution

The third proportional to 150,952.25 and 319,902.25 is: 677,945.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,952.25 : 319,902.25 = 319,902.25 : x
  2. Step 2: Convert to fraction form
    150,952.25/319,902.25 = 319,902.25/x
  3. Step 3: Cross multiply
    150,952.25x = 319,902.25 × 319,902.25
  4. Step 4: Simplify right side
    150,952.25x = 102,337,449,555.06
  5. Step 5: Solve for x
    x = 102,337,449,555.06/150,952.25
  6. Step 6: Final answer
    x = 677,945.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.