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Finding the Third Proportional to 156,922 and 239,487

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Solution

The third proportional to 156,922 and 239,487 is: 365,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,922 : 239,487 = 239,487 : x
  2. Step 2: Convert to fraction form
    156,922/239,487 = 239,487/x
  3. Step 3: Cross multiply
    156,922x = 239,487 × 239,487
  4. Step 4: Simplify right side
    156,922x = 57,354,023,169
  5. Step 5: Solve for x
    x = 57,354,023,169/156,922
  6. Step 6: Final answer
    x = 365,493.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.