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Finding the Third Proportional to 181,536.19 and 279,958.78

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Solution

The third proportional to 181,536.19 and 279,958.78 is: 431,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,536.19 : 279,958.78 = 279,958.78 : x
  2. Step 2: Convert to fraction form
    181,536.19/279,958.78 = 279,958.78/x
  3. Step 3: Cross multiply
    181,536.19x = 279,958.78 × 279,958.78
  4. Step 4: Simplify right side
    181,536.19x = 78,376,919,198.99
  5. Step 5: Solve for x
    x = 78,376,919,198.99/181,536.19
  6. Step 6: Final answer
    x = 431,742.67

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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.