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Finding the Third Proportional to 188,747.50 and 399,356.25

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Solution

The third proportional to 188,747.50 and 399,356.25 is: 844,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,747.50 : 399,356.25 = 399,356.25 : x
  2. Step 2: Convert to fraction form
    188,747.50/399,356.25 = 399,356.25/x
  3. Step 3: Cross multiply
    188,747.50x = 399,356.25 × 399,356.25
  4. Step 4: Simplify right side
    188,747.50x = 159,485,414,414.06
  5. Step 5: Solve for x
    x = 159,485,414,414.06/188,747.50
  6. Step 6: Final answer
    x = 844,967.03

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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.