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Finding the Third Proportional to 256,923 and 365,194

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Solution

The third proportional to 256,923 and 365,194 is: 519,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,923 : 365,194 = 365,194 : x
  2. Step 2: Convert to fraction form
    256,923/365,194 = 365,194/x
  3. Step 3: Cross multiply
    256,923x = 365,194 × 365,194
  4. Step 4: Simplify right side
    256,923x = 133,366,657,636
  5. Step 5: Solve for x
    x = 133,366,657,636/256,923
  6. Step 6: Final answer
    x = 519,091.94

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.