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Finding the Third Proportional to 187,889.63 and 394,241.63

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Solution

The third proportional to 187,889.63 and 394,241.63 is: 827,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,889.63 : 394,241.63 = 394,241.63 : x
  2. Step 2: Convert to fraction form
    187,889.63/394,241.63 = 394,241.63/x
  3. Step 3: Cross multiply
    187,889.63x = 394,241.63 × 394,241.63
  4. Step 4: Simplify right side
    187,889.63x = 155,426,458,882.64
  5. Step 5: Solve for x
    x = 155,426,458,882.64/187,889.63
  6. Step 6: Final answer
    x = 827,222.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.