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Finding the Third Proportional to 156,750 and 238,793

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Solution

The third proportional to 156,750 and 238,793 is: 363,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,750 : 238,793 = 238,793 : x
  2. Step 2: Convert to fraction form
    156,750/238,793 = 238,793/x
  3. Step 3: Cross multiply
    156,750x = 238,793 × 238,793
  4. Step 4: Simplify right side
    156,750x = 57,022,096,849
  5. Step 5: Solve for x
    x = 57,022,096,849/156,750
  6. Step 6: Final answer
    x = 363,777.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.