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Finding the Third Proportional to 156,048 and 235,171

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Solution

The third proportional to 156,048 and 235,171 is: 354,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,048 : 235,171 = 235,171 : x
  2. Step 2: Convert to fraction form
    156,048/235,171 = 235,171/x
  3. Step 3: Cross multiply
    156,048x = 235,171 × 235,171
  4. Step 4: Simplify right side
    156,048x = 55,305,399,241
  5. Step 5: Solve for x
    x = 55,305,399,241/156,048
  6. Step 6: Final answer
    x = 354,412.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.