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Finding the Third Proportional to 156,784 and 238,860

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Solution

The third proportional to 156,784 and 238,860 is: 363,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,784 : 238,860 = 238,860 : x
  2. Step 2: Convert to fraction form
    156,784/238,860 = 238,860/x
  3. Step 3: Cross multiply
    156,784x = 238,860 × 238,860
  4. Step 4: Simplify right side
    156,784x = 57,054,099,600
  5. Step 5: Solve for x
    x = 57,054,099,600/156,784
  6. Step 6: Final answer
    x = 363,902.56

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