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Finding the Third Proportional to 177,037 and 270,717

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Solution

The third proportional to 177,037 and 270,717 is: 413,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,037 : 270,717 = 270,717 : x
  2. Step 2: Convert to fraction form
    177,037/270,717 = 270,717/x
  3. Step 3: Cross multiply
    177,037x = 270,717 × 270,717
  4. Step 4: Simplify right side
    177,037x = 73,287,694,089
  5. Step 5: Solve for x
    x = 73,287,694,089/177,037
  6. Step 6: Final answer
    x = 413,968.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.