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Finding the Third Proportional to 174,992.50 and 279,104

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Solution

The third proportional to 174,992.50 and 279,104 is: 445,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,992.50 : 279,104 = 279,104 : x
  2. Step 2: Convert to fraction form
    174,992.50/279,104 = 279,104/x
  3. Step 3: Cross multiply
    174,992.50x = 279,104 × 279,104
  4. Step 4: Simplify right side
    174,992.50x = 77,899,042,816
  5. Step 5: Solve for x
    x = 77,899,042,816/174,992.50
  6. Step 6: Final answer
    x = 445,156.47

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