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Finding the Third Proportional to 156,966 and 234,832

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Solution

The third proportional to 156,966 and 234,832 is: 351,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966 : 234,832 = 234,832 : x
  2. Step 2: Convert to fraction form
    156,966/234,832 = 234,832/x
  3. Step 3: Cross multiply
    156,966x = 234,832 × 234,832
  4. Step 4: Simplify right side
    156,966x = 55,146,068,224
  5. Step 5: Solve for x
    x = 55,146,068,224/156,966
  6. Step 6: Final answer
    x = 351,324.93

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Why These Related Problems?

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