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Finding the Third Proportional to 114,450.75 and 248,605.50

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Solution

The third proportional to 114,450.75 and 248,605.50 is: 540,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,450.75 : 248,605.50 = 248,605.50 : x
  2. Step 2: Convert to fraction form
    114,450.75/248,605.50 = 248,605.50/x
  3. Step 3: Cross multiply
    114,450.75x = 248,605.50 × 248,605.50
  4. Step 4: Simplify right side
    114,450.75x = 61,804,694,630.25
  5. Step 5: Solve for x
    x = 61,804,694,630.25/114,450.75
  6. Step 6: Final answer
    x = 540,011.27

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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.