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Finding the Third Proportional to 115,384.50 and 182,958.75

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Solution

The third proportional to 115,384.50 and 182,958.75 is: 290,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,384.50 : 182,958.75 = 182,958.75 : x
  2. Step 2: Convert to fraction form
    115,384.50/182,958.75 = 182,958.75/x
  3. Step 3: Cross multiply
    115,384.50x = 182,958.75 × 182,958.75
  4. Step 4: Simplify right side
    115,384.50x = 33,473,904,201.56
  5. Step 5: Solve for x
    x = 33,473,904,201.56/115,384.50
  6. Step 6: Final answer
    x = 290,107.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.