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Finding the Third Proportional to 171,990.50 and 364,795

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Solution

The third proportional to 171,990.50 and 364,795 is: 773,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,990.50 : 364,795 = 364,795 : x
  2. Step 2: Convert to fraction form
    171,990.50/364,795 = 364,795/x
  3. Step 3: Cross multiply
    171,990.50x = 364,795 × 364,795
  4. Step 4: Simplify right side
    171,990.50x = 133,075,392,025
  5. Step 5: Solve for x
    x = 133,075,392,025/171,990.50
  6. Step 6: Final answer
    x = 773,736.88

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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.