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Finding the Third Proportional to 114,010.50 and 263,907

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Solution

The third proportional to 114,010.50 and 263,907 is: 610,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,010.50 : 263,907 = 263,907 : x
  2. Step 2: Convert to fraction form
    114,010.50/263,907 = 263,907/x
  3. Step 3: Cross multiply
    114,010.50x = 263,907 × 263,907
  4. Step 4: Simplify right side
    114,010.50x = 69,646,904,649
  5. Step 5: Solve for x
    x = 69,646,904,649/114,010.50
  6. Step 6: Final answer
    x = 610,881.49

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.