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Finding the Third Proportional to 194,992.31 and 428,211.56

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Solution

The third proportional to 194,992.31 and 428,211.56 is: 940,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,992.31 : 428,211.56 = 428,211.56 : x
  2. Step 2: Convert to fraction form
    194,992.31/428,211.56 = 428,211.56/x
  3. Step 3: Cross multiply
    194,992.31x = 428,211.56 × 428,211.56
  4. Step 4: Simplify right side
    194,992.31x = 183,365,142,258.69
  5. Step 5: Solve for x
    x = 183,365,142,258.69/194,992.31
  6. Step 6: Final answer
    x = 940,371.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.