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Finding the Third Proportional to 115,920 and 244,507.50

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Solution

The third proportional to 115,920 and 244,507.50 is: 515,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,920 : 244,507.50 = 244,507.50 : x
  2. Step 2: Convert to fraction form
    115,920/244,507.50 = 244,507.50/x
  3. Step 3: Cross multiply
    115,920x = 244,507.50 × 244,507.50
  4. Step 4: Simplify right side
    115,920x = 59,783,917,556.25
  5. Step 5: Solve for x
    x = 59,783,917,556.25/115,920
  6. Step 6: Final answer
    x = 515,734.28

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.