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Finding the Third Proportional to 174,584.25 and 278,940.38

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Solution

The third proportional to 174,584.25 and 278,940.38 is: 445,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,584.25 : 278,940.38 = 278,940.38 : x
  2. Step 2: Convert to fraction form
    174,584.25/278,940.38 = 278,940.38/x
  3. Step 3: Cross multiply
    174,584.25x = 278,940.38 × 278,940.38
  4. Step 4: Simplify right side
    174,584.25x = 77,807,732,805.14
  5. Step 5: Solve for x
    x = 77,807,732,805.14/174,584.25
  6. Step 6: Final answer
    x = 445,674.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.