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Finding the Third Proportional to 172,787 and 270,467

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Solution

The third proportional to 172,787 and 270,467 is: 423,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,787 : 270,467 = 270,467 : x
  2. Step 2: Convert to fraction form
    172,787/270,467 = 270,467/x
  3. Step 3: Cross multiply
    172,787x = 270,467 × 270,467
  4. Step 4: Simplify right side
    172,787x = 73,152,398,089
  5. Step 5: Solve for x
    x = 73,152,398,089/172,787
  6. Step 6: Final answer
    x = 423,367.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.