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Finding the Third Proportional to 188,392.50 and 280,642.75

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Solution

The third proportional to 188,392.50 and 280,642.75 is: 418,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,392.50 : 280,642.75 = 280,642.75 : x
  2. Step 2: Convert to fraction form
    188,392.50/280,642.75 = 280,642.75/x
  3. Step 3: Cross multiply
    188,392.50x = 280,642.75 × 280,642.75
  4. Step 4: Simplify right side
    188,392.50x = 78,760,353,127.56
  5. Step 5: Solve for x
    x = 78,760,353,127.56/188,392.50
  6. Step 6: Final answer
    x = 418,065.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.