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Finding the Third Proportional to 156,016 and 239,852

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Solution

The third proportional to 156,016 and 239,852 is: 368,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,016 : 239,852 = 239,852 : x
  2. Step 2: Convert to fraction form
    156,016/239,852 = 239,852/x
  3. Step 3: Cross multiply
    156,016x = 239,852 × 239,852
  4. Step 4: Simplify right side
    156,016x = 57,528,981,904
  5. Step 5: Solve for x
    x = 57,528,981,904/156,016
  6. Step 6: Final answer
    x = 368,737.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.