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Finding the Third Proportional to 181,279 and 280,118

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Solution

The third proportional to 181,279 and 280,118 is: 432,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,279 : 280,118 = 280,118 : x
  2. Step 2: Convert to fraction form
    181,279/280,118 = 280,118/x
  3. Step 3: Cross multiply
    181,279x = 280,118 × 280,118
  4. Step 4: Simplify right side
    181,279x = 78,466,093,924
  5. Step 5: Solve for x
    x = 78,466,093,924/181,279
  6. Step 6: Final answer
    x = 432,847.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.