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Finding the Third Proportional to 177,264 and 417,096

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Solution

The third proportional to 177,264 and 417,096 is: 981,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,264 : 417,096 = 417,096 : x
  2. Step 2: Convert to fraction form
    177,264/417,096 = 417,096/x
  3. Step 3: Cross multiply
    177,264x = 417,096 × 417,096
  4. Step 4: Simplify right side
    177,264x = 173,969,073,216
  5. Step 5: Solve for x
    x = 173,969,073,216/177,264
  6. Step 6: Final answer
    x = 981,412.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.