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Finding the Third Proportional to 181,714.50 and 270,801

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Solution

The third proportional to 181,714.50 and 270,801 is: 403,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,714.50 : 270,801 = 270,801 : x
  2. Step 2: Convert to fraction form
    181,714.50/270,801 = 270,801/x
  3. Step 3: Cross multiply
    181,714.50x = 270,801 × 270,801
  4. Step 4: Simplify right side
    181,714.50x = 73,333,181,601
  5. Step 5: Solve for x
    x = 73,333,181,601/181,714.50
  6. Step 6: Final answer
    x = 403,562.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.