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Finding the Third Proportional to 156,743 and 235,112

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Solution

The third proportional to 156,743 and 235,112 is: 352,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,743 : 235,112 = 235,112 : x
  2. Step 2: Convert to fraction form
    156,743/235,112 = 235,112/x
  3. Step 3: Cross multiply
    156,743x = 235,112 × 235,112
  4. Step 4: Simplify right side
    156,743x = 55,277,652,544
  5. Step 5: Solve for x
    x = 55,277,652,544/156,743
  6. Step 6: Final answer
    x = 352,664.25

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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.