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Finding the Third Proportional to 193,946.44 and 411,216.56

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Solution

The third proportional to 193,946.44 and 411,216.56 is: 871,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,946.44 : 411,216.56 = 411,216.56 : x
  2. Step 2: Convert to fraction form
    193,946.44/411,216.56 = 411,216.56/x
  3. Step 3: Cross multiply
    193,946.44x = 411,216.56 × 411,216.56
  4. Step 4: Simplify right side
    193,946.44x = 169,099,061,274.32
  5. Step 5: Solve for x
    x = 169,099,061,274.32/193,946.44
  6. Step 6: Final answer
    x = 871,885.37

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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.