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Finding the Third Proportional to 151,164 and 235,936

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Solution

The third proportional to 151,164 and 235,936 is: 368,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,164 : 235,936 = 235,936 : x
  2. Step 2: Convert to fraction form
    151,164/235,936 = 235,936/x
  3. Step 3: Cross multiply
    151,164x = 235,936 × 235,936
  4. Step 4: Simplify right side
    151,164x = 55,665,796,096
  5. Step 5: Solve for x
    x = 55,665,796,096/151,164
  6. Step 6: Final answer
    x = 368,247.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.