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Finding the Third Proportional to 156,918.38 and 228,087.56

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Solution

The third proportional to 156,918.38 and 228,087.56 is: 331,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,918.38 : 228,087.56 = 228,087.56 : x
  2. Step 2: Convert to fraction form
    156,918.38/228,087.56 = 228,087.56/x
  3. Step 3: Cross multiply
    156,918.38x = 228,087.56 × 228,087.56
  4. Step 4: Simplify right side
    156,918.38x = 52,023,936,167.19
  5. Step 5: Solve for x
    x = 52,023,936,167.19/156,918.38
  6. Step 6: Final answer
    x = 331,535.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.