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Finding the Third Proportional to 268,879.50 and 585,171

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Solution

The third proportional to 268,879.50 and 585,171 is: 1,273,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,879.50 : 585,171 = 585,171 : x
  2. Step 2: Convert to fraction form
    268,879.50/585,171 = 585,171/x
  3. Step 3: Cross multiply
    268,879.50x = 585,171 × 585,171
  4. Step 4: Simplify right side
    268,879.50x = 342,425,099,241
  5. Step 5: Solve for x
    x = 342,425,099,241/268,879.50
  6. Step 6: Final answer
    x = 1,273,526.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.