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Finding the Third Proportional to 114,735 and 248,537.25

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Solution

The third proportional to 114,735 and 248,537.25 is: 538,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,735 : 248,537.25 = 248,537.25 : x
  2. Step 2: Convert to fraction form
    114,735/248,537.25 = 248,537.25/x
  3. Step 3: Cross multiply
    114,735x = 248,537.25 × 248,537.25
  4. Step 4: Simplify right side
    114,735x = 61,770,764,637.56
  5. Step 5: Solve for x
    x = 61,770,764,637.56/114,735
  6. Step 6: Final answer
    x = 538,377.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.