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Finding the Third Proportional to 156,738.38 and 234,743.06

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Solution

The third proportional to 156,738.38 and 234,743.06 is: 351,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,738.38 : 234,743.06 = 234,743.06 : x
  2. Step 2: Convert to fraction form
    156,738.38/234,743.06 = 234,743.06/x
  3. Step 3: Cross multiply
    156,738.38x = 234,743.06 × 234,743.06
  4. Step 4: Simplify right side
    156,738.38x = 55,104,305,391.88
  5. Step 5: Solve for x
    x = 55,104,305,391.88/156,738.38
  6. Step 6: Final answer
    x = 351,568.69

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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.