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Finding the Third Proportional to 174,992.06 and 279,104.06

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Solution

The third proportional to 174,992.06 and 279,104.06 is: 445,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,992.06 : 279,104.06 = 279,104.06 : x
  2. Step 2: Convert to fraction form
    174,992.06/279,104.06 = 279,104.06/x
  3. Step 3: Cross multiply
    174,992.06x = 279,104.06 × 279,104.06
  4. Step 4: Simplify right side
    174,992.06x = 77,899,077,704.00
  5. Step 5: Solve for x
    x = 77,899,077,704.00/174,992.06
  6. Step 6: Final answer
    x = 445,157.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.