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Finding the Third Proportional to 156,447.28 and 363,951.56

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Solution

The third proportional to 156,447.28 and 363,951.56 is: 846,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,447.28 : 363,951.56 = 363,951.56 : x
  2. Step 2: Convert to fraction form
    156,447.28/363,951.56 = 363,951.56/x
  3. Step 3: Cross multiply
    156,447.28x = 363,951.56 × 363,951.56
  4. Step 4: Simplify right side
    156,447.28x = 132,460,739,846.19
  5. Step 5: Solve for x
    x = 132,460,739,846.19/156,447.28
  6. Step 6: Final answer
    x = 846,679.72

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.