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Finding the Third Proportional to 181,586 and 280,037

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Solution

The third proportional to 181,586 and 280,037 is: 431,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,586 : 280,037 = 280,037 : x
  2. Step 2: Convert to fraction form
    181,586/280,037 = 280,037/x
  3. Step 3: Cross multiply
    181,586x = 280,037 × 280,037
  4. Step 4: Simplify right side
    181,586x = 78,420,721,369
  5. Step 5: Solve for x
    x = 78,420,721,369/181,586
  6. Step 6: Final answer
    x = 431,865.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.