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Finding the Third Proportional to 105,879 and 232,747.50

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Solution

The third proportional to 105,879 and 232,747.50 is: 511,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,879 : 232,747.50 = 232,747.50 : x
  2. Step 2: Convert to fraction form
    105,879/232,747.50 = 232,747.50/x
  3. Step 3: Cross multiply
    105,879x = 232,747.50 × 232,747.50
  4. Step 4: Simplify right side
    105,879x = 54,171,398,756.25
  5. Step 5: Solve for x
    x = 54,171,398,756.25/105,879
  6. Step 6: Final answer
    x = 511,634.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.