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Finding the Third Proportional to 185,633.44 and 278,859.38

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Solution

The third proportional to 185,633.44 and 278,859.38 is: 418,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,633.44 : 278,859.38 = 278,859.38 : x
  2. Step 2: Convert to fraction form
    185,633.44/278,859.38 = 278,859.38/x
  3. Step 3: Cross multiply
    185,633.44x = 278,859.38 × 278,859.38
  4. Step 4: Simplify right side
    185,633.44x = 77,762,551,025.39
  5. Step 5: Solve for x
    x = 77,762,551,025.39/185,633.44
  6. Step 6: Final answer
    x = 418,903.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.