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Finding the Third Proportional to 156,966 and 234,834

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Solution

The third proportional to 156,966 and 234,834 is: 351,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966 : 234,834 = 234,834 : x
  2. Step 2: Convert to fraction form
    156,966/234,834 = 234,834/x
  3. Step 3: Cross multiply
    156,966x = 234,834 × 234,834
  4. Step 4: Simplify right side
    156,966x = 55,147,007,556
  5. Step 5: Solve for x
    x = 55,147,007,556/156,966
  6. Step 6: Final answer
    x = 351,330.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.