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Finding the Third Proportional to 181,929.75 and 276,567

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Solution

The third proportional to 181,929.75 and 276,567 is: 420,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,929.75 : 276,567 = 276,567 : x
  2. Step 2: Convert to fraction form
    181,929.75/276,567 = 276,567/x
  3. Step 3: Cross multiply
    181,929.75x = 276,567 × 276,567
  4. Step 4: Simplify right side
    181,929.75x = 76,489,305,489
  5. Step 5: Solve for x
    x = 76,489,305,489/181,929.75
  6. Step 6: Final answer
    x = 420,433.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.